Keith Law (a writer for ESPN) writes a food blog, and just posted an excellent, in depth, and thorough list of places to eat near various ballparks. It should answer a lot of questions for visitors and locals alike. Here's the link:
And, no, I'm not related to Keith in any way (although I am married to someone that works for a major league baseball team. He moves to the area for the entirety of spring training each year, so we've been to many of the places on the list).