There are 3 clubs I know of on the east coast: MASH (Miami), FLAB (Fort Lauderdale), & Palm Beach Draughtmen.
I belong to the Fort Lauderdale Area Brewers (FLAB). You are welcome to drop in on any of our monthly meetings at Geronimo's Bar in Davie. I know its at least an hour across Alligator Alley, but you are welcome anytime. We meet the 2nd Wednesday of every month and share samples.
Check us out at: http://www.browardhomebrewers.org/
Good Luck and Happy Brewing.