If I were in your position, I'd write out pros and cons. The location factor definitely goes in favor of NYU. I'd much rather live in NYC than in Detroit (partially because I have a lot of friends in the city). Class size goes in favor of UDM. I'm not a big fan of the massive class size of NYU. Patient population is probably about equal. You're not going to have a shortage of patients at either school.
This one is very close because tuition is about equal. Depends on if you can keep your living expenses down (difficult in NYC).