Ruth Chris is located in the lobby of the hotel - comps are 2 to 1
Besh Steak and some fast food places are located inside the casino, comps are 1 to 1.
Mannings is a short walk outside, comps are 1 to 1.
You can go to total rewards and get a voucher for several excellent restaurants in the area - comps are 2 to 1. This includes Commander's Palace and NOLA. When you check into the hotel, they will give you a list of which restaurants are 1 to 1 and 2 to 1.