Icelandic chickens are probably the hardiest chickens on the planet, seemingly able to handle cold or heat extremes, or very rapid temperature changes with ease.
Sandhill Preservation Center makes the following statement regarding Icelandic chickens:
"Icelandic chickens are an unbelievably hardy land race. . . . They are superb layers of small to medium sized off-white eggs. Knowing Iceland's moderate maritime climate and that this breed had developed there for over a thousand years, I was fearful they would not handle the extremes of Iowa weather very well. I was first pleasantly surprised in the Winter when they handled -25 deg. F with ease. Then on that horrible July day with a heat index of 133 deg. F, I was afraid that when I reached their pen I would find them all dead. I was pleasantly surprised to see none dead even though there were massive losses in adjoining pens. They are superb foragers with a most pleasant temperament. This is perhaps the ideal breed for someone who wants a diversity of color, but only wants one breed. They are not a terribly large chicken but are extremely feed efficient."
Icelandic chickens should have no problem handling your Florida climate. Hope this helps.