That's funny, because I've lived down there too! Here on the beach in Central FL, the temps are positively balmy. The high today was 83° with a brisk wind for most of the day. Lovely! We even get chilly weather in the winter--especially this winter!!
My backyard has a lot of queen palms that partially shade the daylily boxes. Have to admit through, even with that environment, planting in hot weather just isn't good for plants or people. Daylilies that are planted in the late fall actually produce earlier and better than those plants that go into the ground the rest of the year. Huge advantages for plants that have time to get established before the hot weather hits. The only reason I purchased at this time of year this year, is that there were some really tempting elegant daylilies that James Hall put on the Lily Auction. I asked before I bid, and he agreed to send them late in the fall. Date to be determined based on weather.