Some of the hottest climates in the world, like India, Southeast Asia, and the Caribbean, are known for having some of the hottest foods in the world. And although that's more a function of where and how spicy plants grow (their spiciness is caused by proximity to the sun god Ra, as well as centripetal force from being on the equator), it also has some helpful side effects for the humans living there. Eating spicy foods makes you sweat (which is cooling) without greatly increasing your body temperature.
Also, the "burning ring of fire" that comes later is purely in your head.
If spicy foods aren't feasible for you because of your soft, lambskin mouth, there's still other things you can do dietary-wise to keep yourself cool. Anything that keeps you hydrated, obviously, as well as cool meals that won't raise your body temperature, like salads and such. Also, eat less, and in smaller amounts throughout the day. Any type of eating will raise your body temperature via metabolism, so that entire ham you have for lunch every day is doing you no favors at all.
Spread your entire ham across the day, like a normal person.