Here's a test I would do before I tried to replace the button with a transistor: check to see whether the closing of the circuit pulls the joined contacts high or low. Once you know that, you can design the right replacement circuit.
To explain a little more: when the button is not pressed, one terminal will be high (3.3 V, maybe?) and the other will be low (0 V). When you press the button, does the low one get pulled up to 3.3 V, or does the high one get pulled to 0 V?
If you're trying to pull a terminal low when you should actually be pulling the other terminal high, I don't think the circuit will behave like you want.
Cost is never a problem. Many enthusiasts will be willing to pay moderate price for easily hackable high end devices. The problem is that ARM is a closed platform. There typically is a part named private ROM on the very silicon of SoC (system on chip). It blocks the reuse.
This part of ROM is responsible for picking a bootloader in some order: Z-Modem on serial, external Nand, serial ROM, SDCard, external USB. For every device the order is individual and poorly documented, you typically should hold few buttons when powering to branch into alternative loader. The image of bootloader if most of the time checked for digital signature of platform owner. So no luck.
For one off project it is OK to pick random device. But you possibly will be more interested in well known device, with published schematics and available source code for Linux, Android etc.
So my suggestion is to look at devices surrounded by active user's communities: Raspberry Pi, BeagleBone, BeagleBoard, some Samsung evaluation platform (PandaBoard ?)
My personal experience with TI AM35XX ended with disappointment with complexity of everything. The smallest Linux in the world named Angstrom has 3GB distribution image. The docs for chips are 4000-5000 pages. It did not feel much like a hobby and was not enjoyable.
The situation may change after Intel Atom SoC will become popular. I expect massive user interest and will follow the crowd in direction of smallest possible Atom with screen. Hope someone will complete a panel mountable piece with size of credit card and GPIO. It will be fun.
Best Answer
no operator nowadays designs 20Km cell radius, Link budgets like that aint workable with modulation schemes and mobile phone class mark power nowadays.
The example you got was a 1st Generation link budget with a 25 watt handset on narrowband FM analog.
Most probably you got hold of an NMT link budget calculations used in the mid 80s. NMT or Nordic Mobile Telephone is a standard embraced by nordic countries and other countries outside the baltic.
They are vehicle installed phones, and has powers up to 50Watts and comes in 450MHz and 900MHz band.
NMT was later scrapped as ITU allocated the 900MHz bands for GSM and the North American Equivalent.
Saw NMT until the late 90s for countries with large logging concessional areas, last users of this system were logging and mining companies.