Will recommend Abe's BBQ in Clarksdale MS. It's right off the highway an hour outside of Memphis otw to new orleans. They also have some blues museums/clubs worth checking out if you are into that sort of stuff.
Check the new Orleans thread for more info. I would recommend skipping both commanders (overly priced and not that great in the scheme of food here) and courtyard (a pretentious cali-bro ****** owns it and is only interested in the flavor of the week, and the beer isn't anything special even though he will make it a point to tell you how awesome it is because he's from cali and everything else sucks but him because cali).
Go to Verdi mart for late night 24hour drunk poboys. Go to central grocery for the original muffalatta, Blue oak for bbq, Domenica for cheap happy hour drinks/pizza, snake and Jakes for a dive bar, MoFo for viet-fusion, steins for the best deli/package beer, any recommended places for poboys (there are some shitty places but most make a sandwich worth your $) if you want a fancy meal go to Shaya (if you can get in).
Feel free to pm for more specific locations. I live here.