Bummedic, if you're near Gainesville, check out the Wilson Shoals WMA range.
It's about 20 miles north of Gainesville.
It is an outdoor range, but it has a nice covered firing line with good benches and tables, a bathroom, and a range officer who supervises.
You have to pay to park or have a State park sticker on your car, AND there's a small range fee. But it's worth it, to shoot outdoors in the fresh air.
However, they only call a "cease fire" about once every 20 minutes, so you probably want to bring binoculars or a table-top spotting scope to check your targets.
The maximum distance you can get there is about 80 yards.