Muse's place is very close to French Quarter. It's a corporate housing complex with a security guard that will let you up.
The place has AC (so clutch in New Orleans) and a comfy sofa bed to fit in extra people.
I'd recommend bringing your own toiletries though. Shampoo + conditioner and body wash are provided... but they're in these camping-style dispensers. Totally easy to rectify since the apartment is a block away from CVS and you can get travel sized toiletries.