You can definitely transmit data using just TX & GND.
Firstly, you want to hook up the ATtiny85 TX line to the FTDI RX line (yellow on the TTL-232R). Make sure that the USB adapter can handle 5V - I'm fairly sure even the 3.3V TTL-232R is 5V tolerant.
According to the example page for SoftwareSerial, you need to set the direction of the TX & RX lines in your setup function:
// include the SoftwareSerial library so you can use its functions:
#include <SoftwareSerial.h>
#define rxPin 2
#define txPin 3
#define ledPin 13
// set up a new serial port
SoftwareSerial mySerial = SoftwareSerial(rxPin, txPin);
byte pinState = 0;
void setup() {
// define pin modes for tx, rx, led pins:
pinMode(rxPin, INPUT);
pinMode(txPin, OUTPUT);
pinMode(ledPin, OUTPUT);
// set the data rate for the SoftwareSerial port
mySerial.begin(9600);
}
The baudrate will be 4800 in your case. The SoftwareSerial library doesn't seem to support CTS & RTS, so just make sure you aren't using them on the host software.
Check out the reference page for more details, where they talk about some potential timing issues which may be exacerbated if you're running at 1MHz using the internal oscillator on the tiny.
Best Answer
The FT232R should allow to change the CTS pin from the default input to an output. However, one needs to use the D2XX driver instead of the VCP. This is even already implemented by one: https://github.com/jimparis/esptool-ftdi .