I think Florida is much maligned; adventurous travellers know it's not all Disneyfied.

Plenty of culture, such Barnum & Bailey circus impresario John Ringling's Ca d'Zan in Sarasota:



www.ringling.org/cadmansion.aspx

The Flagler Musem north of Fort Lauderdale:



www.flaglermuseum.us/

...not to mention the many natural wonders to be seen in the Everglades and the tremendous drive from Miami to Key West on Highway One:



...though try and avoid driving on the right hand freeway, or you might get a tad wet!