You need 172 (173-4 to be safe) for NYU. 170 for UVA, where being in-state will help a lot. Shoot for 180.
I like your way of thinking, and that's honestly what I'm going to try to do, since I'm dedicated to spending 7 months of straight studying for this beast. Columbia I'm guessing I need a 172-173.
I wish I had more desire to go to UVA, but unfortunately, along with Duke and Berkeley, it's one of the schools I least want to go to out of T14. Even though I'm sure it would help me get a BigLaw job in NYC pretty easily (well, somewhat easily).