I do consider myself a foodie with a passion for the odd and rare. The first thing I do when planning port stops is food.
When in Grand Cayman how can one not do turtle or find jerk chicken from a street vendor. Maybe a small cafe serving stewed cowsfoot!
When in Belize, one has to track down gibnut/paca! WONDERFUL, and some rice and beans with oxtail or Chimole/black soup, fry jacks or conch!
When in Coz or Mahahual (or perhaps my fave foodie Mexico town Ensenada) gotta do seafood, Urchin cerviche, shark tacos, whole fried fish or Octopus
When in Roatan, going crazy on baleadas, find a shot of gifiti to toss back, eat a plate of Lionfish
And if a port has a brewery, like Cayman, Roatan or Belize, it is a stop!!!