Having visited a couple of months ago, let me also recommend the recently opened Porgy's Seafood Market, which has a brief but well-executed food menu; also Fives, a small cocktail bar in the Quarter with creative takes on standards (like a marrow-washed Sazerac) and a competent kitchen with bistro-esque cooking. Very possible you've been already, but I had never eaten at Compere Lapin or La Petite Grocery and both were pretty fantastic (I love the LPG dining room). Have a great trip!