I would be looking at 2nd Hand STI stuff then. Rumour has it the base of the 86 is actually the hatch/ sedan Imperza. So the STI stuff should bolt on. I have also seen pervious Gen WRX 4 Pots on an 86 as well.
Bare in mind you may need new wheels to clear the brakes. Which I'm sure your doing any way but just make sure the wheels your going for clears them
Just like Ran94a mentioned be very selective on your brake pads make sure they are more street based then track based especially since your not really using it as a hardcore track car.