Tulane has an awesome program director and a really wonderful IM program. If I were you, I'd give it a shot. Plus, New Orleans is an amazing city with so much to offer. And yes, even as an intern, you will have time to enjoy it! And, you get to work in the Charity Hospital system, where you will see pathology that is simply not available anywhere else. It's a state-run system, so you will get a taste of what socialized medicine could be. At Tulane, you will also get to work in a private hospital (Tulane Hospital) and a federally run hospital (VA), so you really get the best of all worlds.
Is there no way you could reschedule one of the interviews?
If not, good luck making your decision -- my vote is for Tulane!
Good luck!