I have BCs about a 2" drop.
1. wheel offset can determine how much you can lower the car.
2. Camber Alignment (negative camber will help you tuck the tire, dont go crazy on the negative camber do.. -0.8 max or youll have tire wear problems.)
3. width if tire and wheel.
Im not sure on stock wheels..
but My setup is Zl1 replicas per GM specs
11" wide wheel rear with 295/35/20 michelins -----10" wide wheel front with 275/40/20
clearance is tight as a virgin in my car, but no rubbing