ahh...that's a different question altogether 🙂
the reality is it doesn't matter. the setting you trained at isn't as important as who you trained with, and what you were able to do while training there. so for example, if you are coming from a university program with good sports, good faculty who can write you a good letter, and did tons of stuff sports related that will make any sports program want you, then it's fine that you went to a university program. ( my sense is you're concerned that the university programs carry the rep of "doing less" and that could be true in some instances)
you'll probably want to look at what programs offer sports fellowships and see what kind of setting they're in. medicine is one of those professions with tons of inbreeding...residents often take fellowship spots at the place where they did their training. it can help you narrow down the places you consider.