Clark..........Monmuth is outstanding but don't go just for dinner. Spend a few nights there and visit Natchez. It's a great city. Get a room in the newer part out back. Actually the owner has a new separate building with two rooms that's very nice. See if it's available. Dine at Monmouth one night then sightsee the next day and dine downtown at another restaurant the second night. I have been to Monmouth 3 times. Watch out for weddings though. Ask if there are any schedule when you call for reservations.
When you leave drive S through BR for lunch and then a few nights at NOLA. Have lunch and dinner at Galatoire's, Coquette, Commander's Palace, Acme Oyster Bar, Bayona, Clancy's and Brigtsen's. There are many more.