Looks like you already found it but Suncoast Herp Society was the one I was going to recommend. They are part of the League of Florida Herpetological Societies. Here's the info I have on them in case it differs from yours:
They meet the third Wednesday of the month at 7pm at Moccasin Lake Nature Park Trail in Clearwater. The contact phone # is (727) 942-6700.
Below is a link to the other herp societies that belong to the League of Florida Herpetological Societies.