Why is Charity LSU's territory? You ought to check out the call system over there and you will see that everything (EVERYTHING) is split down the middle. All internal medicine patients are admitted by both schools, the ER is run by both Tulane residents and LSU residents, trauma surgery is split, general surgery is split, EVERYTHING is split. Tulane, though, has the benefit of also working out the VA for internal medicine, and of working out of a private university hospital or 2 for everything. I know this isn't a Tulane vs. LSU thread, and I don't mean to put down LSU at all, but I think you are sorely mistaken about Tulane's clinical domain.
Another point I would like to make is about preclinical education: At this point in your education, all you can see ahead of you is anatomy, which I understand. THERE IS MORE TO MEDICINE THAN ANATOMY. I tell this to applicants all the time. Stop judging your med school by its anatomy labs. I would much prefer to go to the school with the better clinical exposure that to the one that's great at teaching biochem. In Tulane's favor, though, there is a LOT of new money coming in for basic science research and faculty acquisition as of this upcoming school year because of the space being freed up by moving the medical education component of the med school to its new classy digs.
You sound sold on SLU and if that's where you would rather be, go there. Schools generally prefer students who want to be there and if you don't want to be at Tulane, don't worry. There are many other students waiting on your spot.
