I stayed at the French Quarter last summer. It doesn't have a health club/gym. However, it does have a decent sized swimming pool. It also has a nice riverside path that makes for great jogging and cycling! It's very scenic and peaceful. The path is VERY wide, so no problems with getting in other's way or them getting in your way. You can rent cycles if you want to do this. You can also rent different types of water-craft that could also be used for a good, fun workout!
Hope this helps!
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