Best stores for food souvenirs in New Orleans

We're heading to New Orleans for Jazz Fest and have already booked lots of great restaurants. But we want to bring home local goodies like pralines, cooking spices, and other New Orleans-specific items - basically, stuff that can go in our suitcase to take home (so not sausages or seafood).

Any recommendations for the best grocery stores/markets/specialty shops in New Orleans would be much appreciated! We're staying in the French Quarter and won't have a car.