The last couple of years, French Quarter Fest has gotten almost as bad as Jazzfest as far as hotel prices & availability. And a single night, Saturday night stay will always be the hardest. The cheapest on HOTWIRE in those areas right now is $237+, if that's any indicator. Lastminutetravel has an "on request" listing at $153. That's probably as good as you'll get, but I'd try calling them, since it's a weekend, if you book online, they might not confirm/reject it until Tuesday, and that's a long time to be committed for you when the deal might get denied. Failing that, best bet might be waiting until the very last minute, friday or even saturday, see if any hotel with available rooms releases them at a discount then. Good luck.