I've dropped plenty of FWD transaxles though never a corolla. Jackstands were enough. 2x4 across the fenders with a strap at least trying to hold the engine up.
If I were in your shoes I'd get some milk crates, scissor jacks and other junk and you'll pull this off. A corolla automatic weighs, what, 120 lbs? Manhandle it in there.