The current code reference for grills on balconies from the Florida Fire Prevention Code (2005) reads as follows:
FFPC(2005): NFPA 1: 10.11.7 For other than one- and two-family
dwellings, no hibachi, gas-fired grills, charcoal grills or other
similar devices used for cooking, heating, or any other purpose, shall
be used or kindled on any balcony or under any overhanging portion or
within 10 ft (3 m) of any structure. Listed electric ranges, grills, or
similar electrical apparatus shall be permitted.
Please call the Alachua County Fire Rescue Fire Prevention Bureau at (352)384-3103 if you require additional clarification.