I still say, "Keep Sicily for another trip", but if you decide to go there, skip Palermo. It has truly wonderful churches and some museums. Enough top-flight churches and oratorios for several days (and I am not remotely religious). But it is a large, hectic city. No need to deal with it if you're not interested in churches and museums. You can get your Sicilan-market fix in Catania instead. Catania's still a big bustling city but not quite as frantic as Palermo. It has a nice historic area near the cathedral. You could day-trip to Taormina from Catania, or vice versa. My favorite Sicilian city was Siracusa, which has a very atmospheric, large historic district (Ortygia) and is also a good base for day-trips to the baroque inland towns of Ragusa, Noto, Modica, Scicli, etc.
But don't try to squeeze Sicily into this trip.
Edited to add: Food + interacting with people = cooking classes and market tours. I think you'll find lots of options. Some seem to be crazy pricey, so shop around if money is an issue.