I can speak from personal experience of deciding between these two schools...and I can say it was a really tough decision.
However, the two programs you are looking at here are different, so first you should decide if you want to do Epi or Environmental Health.
For me the decision came down to Emory because I liked the fact that the program was two years in length and would give me plenty of time to take all the courses I wanted to take as well as do a GFE (global field experience) in the summer between the two years as a grad student. For me, the Tulane program seemed a little rushed. HOWEVER, if I were already a doctor like you then I probably would have made the opposite decision, I wanted to take the extra time at Emory to take additional courses, but since you are already a doctor you may not need a lot of that. Tulane is also a little bit less expensive (not a lot, but a few thousand dollars can go a long way when you aren't paying it back as a loan with interest).
This is going to be a decision that you will have to make for yourself based on your personal goals and desires. I don't think you would go wrong by choosing either school. Good luck!