I am a med student at Tulane. I am absolutely not belittling my school, but I say definitely go to UTSW. UTSW is an awesome school. They have great research, great teaching hospitals (Parkland), and great residency placement (however, it seems that many of their grads stay in TX).
Tulane is a great place to study medicine. I am learning so much and having the time of my life. But I think you will and can have fun in Dallas, learn a lot, and have A LOT LESS DEBT. If I were from a state that had good state schools, I would have chosen my state school without a doubt. Some states with great med schools that come to mind are CA, TX, NC, VA, MI, and WA.
Even though you will make a decent living as a physician with $200k debt, you always want to try to minimize your debt load. Also, if you want to do academic medicine, peds, family med, etc, you will have to realize that it will take quite a long time to pay off those loans as these are not high paying specialities.
Good luck in your decision and if you have any questions about Tulane, please pvt me.