First option would be:
best transmission id say would be to go for an MR2 turbo E153 box (and switch the selector housing for FWD application) << link to doing the switch >> http://www.twobrutal.co.uk/forum/showthread.php?16349-How-to-convert-a-Mk2-Turbo-Gearbox-%28E153%29-to-FWD
Shafts iv been told that with the E153 box you can use levin or mk1 mr2 4agze shafts (not 100% about this)
Wiring looms can be found, depends which car you get the engine from (some minor differences between mr2 turbo, celica gt4 & caldina gtt
Second option (good for upto 280bhp roughly):
Use S54 box from a celica GT
Use the ST182 driver side shaft, MK2 Rev2 MR2 Passenger side shaft, they should hold the power (iv seen turbo'd 3sge with the s54 box run around 300ish-bhp)