Listen don't count the competitiveness of the school as a positive thing. You have to look at everything. I realise that stony brook is cheaper (way cheaper) but is its clinic as strong as that of that of NYU? (not a rhetorical question)
I've heard nightmare stories about NYU from people who went there. I also have a couple of co-residents who went there and are now trying to pay off debt of 400K! THey told me that in this past year as residents they did not start paying their loans back and another 20K in interest was added to the amount they owe.
Stony Brook is definitely the way to go.