What about when the temperature is around 95-100F? I live in Charlotte, NC and it's been in the high 90s to low 100s the past few weeks and I noticed my plants dropping a lot of blooms in this heat so I started only giving them about 2 hours of direct sunlight a day. They're still dropping blooms but not as many, but it's supposed to cool off soon so hopefully I can go back to 7-8 hours of sun a day. My chocolate hab hasn't had a new pepper since this heat started, and my others have only had a few new ones while the other pods seem to be developing slowly, so I'm not sure if it's the heat or lack of direct sunlight, I just read that these temps are not ideal during flowering.
Above 90F is a "potential" problem. Some plants will abort blooms or even early pods. However none of my peppers are doing this in the same temperatures you are seeing, only my okra is shedding buds, blooms and the vegetable itself.
I recently gave mine fertilizer including Cal/Mag and water very often. That may be helping, my biggest problem with them staying in the sun is it is scalding the fruit on the top. I don't have Choc. Habs but my Jamaican Chocs are thriving and producing new fruit every day, they get roughly 9 to 10 hours of direct sun, though possibly shaded a little by a row in front of them for the first hour.
They are resisting high temperatures better this year than last, even with this year being hotter than last, with the only differences I can think of being watering more often and using more Cal/Mag, though I might also have more peat in the soil this year along with last year's pepper root hairs.