Manny,
There is a group that shoots somewhere around Palmetto IIRC. I'm in Plant City, which is about an hour and a bit more north of you.
The wagonmaster of that group was Chris ??? can't remember his last name but I shot in the group with him twice at the TBOF shoot. I think there is also a group that shoots east of you around Lorida.
There is also a club that shoots in Lakeland at the Tenoroc facility. They are not traditional but will allow you to shoot with them if you like.
Gary Doyen runs the Sawmill Archery shop just south of me on Hwy 39. He has an informal shoot at his shop/house on the 3rd Sat. of every month. Again they aren't traditional but they've always welcomed me whenever I go. The next shoot will be March 21st.
You'll be likely to get an answer after Sunday evening sometime, like Hal said most everybody is probably in Ocala at the shoot right now.
If I can help you any further feel free to e-mail me as well.