Here you go Sean. It's a diagram for a '93, but it should be the same.
If you're looking for current drain, first confirm that's the problem by putting a clamp on DC ammeter on the main battery cable. If you have more than a few milliamps without the key in the ignition, then you definitely have a current drain/leak somewhere.
Then start pulling fuses until you find the one(s) that cause the current to drop.
If you just want to see if the car will turnover manually, I'd suggest pulling the starter relay altogether, then put a momentary contact start switch, or an alligator jumper on pins 3 & 5 of the relay socket as shown on the attached diagram. If you use a jumper, just be ready for the engine to turn over as soon as you've jumped these contacts. Regardless whether it turns over this way or not, it's not going to start until the master fuel injection relay gets energised by the ECU, and there are a number of preconditions necessary to make that happen.
BTW, be very careful where you put your start switch, or jumper. DO NOT short out pins 1 & 2, as these are the coil pins. A couple of Supra buddies got mixed up between 1 & 2 and 3 & 5, and accidentally shorted 1 & 2 and it fried the ECU.