If you stay in France you want to stay in a flat in Montmartre next to locals, not the Paris Hilton. If you're in Sweden, a tiny apartment in historic Gamla Stan is so superior to a inn out by the airport. And if you're in Havana the space to be is an apartment with balcony on Calle L, not the Nacional Hotel.
Right? Or you wouldn't be looking here. Anyway been there, done that. Because it's about more than just "going," it's about, for a week or however long, being a tiny part of the whole, and not an outsider looking in.
So if you go to New Orleans you want to be in a place that's made of (exposed) brick and re-purposed barge wood and been battered by hurricanes and is in the thick of the coolest part of the city. And this is it. If that doesn't matter to you, don't stay here; for that matter, maybe just stay home.