I'll be heading back to South Florida through that area on Saturday. I will be stopping at SCGAA (Seminole County Gun and Archery Association) on Sunday for Public Day. Though, that is probably a little too far for somebody in S. Georgia.
There is a range in the Ocala NF. But, from what I've heard (never been there myself) from people that have been there, you shoot at your own risk (of life and limb.)
There is some kind of WMA type range outside Lake City. But, I don't have any specifics. There is Saint John's Shooting Sports in Saint Augustine. Then again, that is also a little far for most people. Then again, I drove to New Orleans (200 miles from Pensacola) just to get tickets for the $300 Million Powerball a while back.
100 miles south from y'all is about Orlando. 200 miles south is about Okechobee. 100 miles north would be Macon and 200 miles, Atlanta. So, I guess it would depend on how ar you want to drive.