I try to travel as much as possible out of this state during the summer because it's so fucking bad. Florida is only tolerable from December to late March.
Not sure why you'd want to go to Florida during the summer. That's the one season I'd completely avoid it.
I'm partial to the Gulf coast because it's warmer. The keys are really nice too, though.
You should make a winter trip and hit up Sarasota/Siesta Key, Sanibel Island (bitches love seashells), Naples (swim with manatees), and then head down to the Keys.