That hotel is like 8 blocks away from cochon and cochon butcher. Both are absolutely fantastic.
I am a big fan of Felix's Oyster Bar. It is super simplistic and looks like a mid level cafe but their oyster poboy and gumbo are my fav in the quarter.
Also, Oceana is really good, but the atmosphere is like a cajun applebees.
Deannies gets a lot of pub, but I have tried it a couple times and wasn't impressed. I wouldn't recommend it unless you like fried seafood and fried seafood. My impression was that is their version of red lobster.
I really like cafe fluer de lis (sp) for breakfast, but it is stuff you can get most anywhere in the south, just really good