Tranny computer battery cable routing

[LS short box]

250 amp fuse for the AC? On my LS swaps the positive battery cable is bolted directly to the main stud on the starter just like a normal car. No fuse. When I use a Painless chassis wiring kit a 60 amp fuse that powered the rest of of car/truck is included.
I run a 8/10 cable from the main stud on the starter to the stud on the back of the alternator.
If you have every thing grounded properly, trans to frame, frame to engine the trans/engine controller doesn't need a ground.