Florida does not have a 'stop and identify' law per se - it has a "loitering and prowling" law.
Statutes & Constitution :View Statutes : Online Sunshine
The supreme court did rule that being required to disclose your name did not violate constitutional rights, however has never ruled on whether being required to provide papers was a violation.
The supreme court also ruled that any state that enacts a 'stop and identify' law must require the officer to have reasonable and articulable suspicion of criminal involvement prior to detaining and questioning the "suspect".
Hiibel v. Sixth Judicial District Court of Nevada, 542 U.S. 177 (2004)
http://www.policeone.com/columnists/lom/articles/120321-Stop-Identify-Can-an-officer-arrest-a-suspect-for-failing-to-provide-ID/
http://www.policechiefmagazine.org/magazine/index.cfm?fuseaction=display_arch&article_id=382&issue_id=92004