If you are in the area around Oxcutzcab, Akil, Tekax you might want to stop in at Codornejo (a combination of codorniz - quail, and conejo - rabbit) which features - surprise! quail and rabbit as its specialities.
The non-air conditioned restaurant is nicely set up, the service is friendly the platter with rabbit and codorniz is tasty, if a bit dry. The best part of lunch here is the natural agua de mamey, which on a hot day is superbly refreshing. You can even buy the frozen concentrate to take home.
There’s a small pool if you are with kids, so they are not screaming about how hot it is - just toss them in the water. There are tables nearby so you can eat and keep an eye on them at the same time. Coconut ice cream for dessert is served in a little jicara (gourd) which is cute.