Chateau Caribbean wouldn't be my first choice in Belize City, or even my third or fourth. It has very nice public rooms (used for scenes in a couple of movies shot in Belize) but the guest rooms need some work. Of course, if you're getting a dirt-cheap rate, it would be okay. And the location is very good.
But for quality accommodations, I would rate the Radisson, Great House, Colton House and Four Fort Street above the Chateau Caribbean.
Ian Anderson's is great for adventuresome travelers.
Belize First Magazine http://www.turq.com/belizefirst/