There's tons of great hotels in the FQ!
Too many to list....
A few of my favorites are:
Royal Sonesta
Chateau Sonesta
Omni Royal Orleans
Astor Crowne Plaza (new)

Depending on the time of year you're visiting will determine your rate. Summer is least expensive. Fall/Spring are the highest demand times. Rates can vary from $100 - $300 per night at any of those.
Good luck and I hope you enjoy your visit to N.O.!

-Gene