I am in Northwest Fl on the Gulf, and trying to grow cherimoya here. I am growing many from seed right now (about 150, mostly random varieties from the markets.. which may actually be a good thing in terms of high variability)..
Our summer heat is very comparable to the rest of Florida, however our winters get substantially cooler, also with more chill hours. Unfortunately sometimes we get hard freezes to the upper teens F, although it rarely ever snows at all. Humidity is still usually muggy like the rest of Fl.
I am about to start some 'Dream' annona/cherimoya seeds, and maybe graft some budwood onto a few seedlings. I will see where that goes. Apparently this variety can take it very cold, into the teens, and produces pretty well in Florida,at least for a cherimoya. Also it is supposed to taste very good, but has small fruit.
Don't cherimoya originate from highland cloud forests? So it would be safe to say that they experience a lot of indirect refracted sunlight from cloud cover and maybe the direct sun is too much in Fl conditions? I will start planting some of these in the shade and see how that goes. An understory environment might be preferable here..