I think implementing the CAN protocol in firmware only will be difficult and will take a while to get right. It is not a good idea.
However, your prices are high. I just checked, and a dsPIC 33FJ64GP802 in QFN package sells for 3.68 USD on microchipdirect for 1000 pieces. The price will be lower for real production volumes.
The hardware CAN peripheral does some real things for you, and the price increment for it is nowhere near what you are claiming.
Added:
Since you seem to be determined to try the firmware route, here are some of the obvious problems that pop to mind. There will most likely be other problems that haven't occured to me yet.
You want to do CAN at 20 kbit/s. That's a very slow rate for CAN, which go up to 1Mbit/s for at least 10s of meters. To give you one datapoint, the NMEA 2000 shipboard signalling standard is layerd on CAN at 200 kbits/s, and that's meant to go from one end of a large ship to the other.
You may think that all you need is one interrupt per bit and you can do everything you need in that interrupt. That won't work because there are several things going on in each CAN bit time. Two things in particular need to be done at the sub-bit level. The first is detecting a collision, and the second is adjusting the bit rate on the fly.
There are two signalling states on a CAN bus, recessive and dominant. Recessive is what happens when nothing is driving the bus. Both lines are pulled together by a total of 60 Ω. A normal CAN bus as implemented by common chips like the MCP2551, should have 120 Ω terminators at both ends, hence a total of 60 Ω pulling the two differential lines together passively. The dominant state is when both lines are actively pulled apart, somewhere around 900mV from the recessive state if I remember right. Basically, this is like a open collector bus, except that it's implemented with a differential pair. The bus is in recessive state if CANH-CANL < 900mV and dominant when CANH-CANL > 900mV. The dominant state signals 0, and the recessive 1.
Whenever a node "writes" a 1 to the bus (lets it go), it checks to see if some other node is writing a 0. When you find the bus in dominant state (0) when you think you're sending and the current bit you're sending is a 1, then that means someone else is sending too. Collisions only matter when the two senders disagree, and the rule is that the one sending the recessive state backs off and aborts its message. The node sending the dominant state doesn't even know this happened. This is how arbitration works on a CAN bus.
The CAN bus arbitration rules mean you have to be watching the bus partway thru every bit you are sending as a 1 to make sure someone else isn't sending a 0. This check is usually done about 2/3 of the way into the bit, and is the fundamental limitation on CAN bus length. The slower the bits rate, the more time there is for the worst case propagation from one end of the bus to the other, and therefore the longer the bus can be. This check must be done every bit where you think you own the bus and are sending a 1 bit.
Another problem is bit rate adjustment. All nodes on a bus must agree on the bit rate, more closely than with RS-232. To prevent small clock differences from accumulating into significant errors, each node must be able to do a bit that is a little longer or shorter than its nominal. In hardware, this is implemented by running a clock somewhere around 9x to 20x faster than the bit rate. The cycles of this fast clock are called time quanta. There are ways to detect that the start of new bits is wandering with respect to where you think they should be. Hardware implementations then add or skip one time quanta in a bit to re-sync. There are other ways you could implement this as long as you can adjust to small diferences in phase between your expected bit times and actual measured bit times.
Either way, these mechanisms require various things be done at various times within a bit. This sort of timing will get very tricky in firmware, or will require the bus to be run very slowly. Let's say you implement a time quanta system in firmware at 20 kbits/s. At the minimum of 9 time quanta per bit, that would require 180 kHz interrupt. That's certainly possible with something like a dsPIC 33F, but will eat up a significant fraction of the processor. At the max instruction rate of 40 MHz, you get 222 instruction cycles per interrupt. It shouldn't take that long to do all the checking, but probably 50-100 cycles, meaning 25-50% of the processor will be used for CAN and that it will need to preempt everything else that is running. That prevents many applications these processors often run, like pulse by pulse control of a switching power supply or motor driver. The 50-100 cycle latency on every other interrupt would be a complete show stopper for many of the things I've done with chips like this.
So you're going to spend the money to do CAN somehow. If not in the dedicated hardware peripheral intended for that purpose, then in getting a larger processor to handle the significant firmware overhead and then deal with the unpredictable and possible large interrupt latency for everything else.
Then there is the up front engineering. The CAN peripheral just works. From your comment, it seems like the incremental cost of this peripheral is $.56. That seems like a bargain to me. Unless you've got a very high volume product, there is no way you're going to get back the considerable time and expense it will take to implement CAN in firmware only. If your volumes are that high, the prices we've been mentioning aren't realistic anyway, and the differential to add the CAN hardware will be lower.
I really don't see this making sense.
All CAN hardware error checks are performed by hardware - the CAN controllers.
A CAN node cannot ack itself, by design. It will not receive its own messages. CAN is meant to have at least two nodes to work - a CAN bus with just one node is considered faulty, it is common sense. Therefore it doesn't make sense to have an "independent check".
(With one exception: if you enable a debug mode called "loop-back", which most CAN controllers support. Loop-back is a feature which allows the CAN controller to speak with itself without actually sending anything out on the bus. This is used for trouble-shooting and simulation purposes only and isn't meaningful to use in the final application. Typically you use this when you were cheap and only bought 1 evaluation board etc.)
The validation of message reception is done by the receiver acknowledging the message by setting the acknowledge bits in the CAN frame. http://www.can-cia.org/can-knowledge/can/can-data-link-layers/. This is done by the CAN controllers and nothing your software driver or application-level protocol need to concern themselves with, apart from checking the error flags after each transmission.
Now if you want to know if the right CAN node received the message, rather than any node, then that's another story not related to the hardware health of the bus. Such things have to be sorted in the high-level protocol.
Best Answer
The loopback function of the SN65HVD233 does not work by shorting the output of the micro, instead it removes the device from the bus by putting the CANH and CANL pins into a high impedance state - see page 1 of the datasheet.
This will not cause any transmission errors due to the physical layer, you will however need to put the micro into the test mode as there won't be a node on the bus to acknowledge the message and you will get repeated transmission otherwise.
The easiest way to test this would be to fire up the device and step through the program checking the registers as you go.
Using the loopback mode only tests the connection between the micro and transceiver, it won't allow you to check the integrity (soldered correctly/shorts?) of the transceiver outputs (CANH & CANL).