Georgia has a ton of hogs and a ton of public land. License is cheap. Its definitely not a walk in the park to hunt any animal on public land, but Georgia has hogs.
A fall trip would require a big game license since whitetail season would be open.
If you wait until after deer season closes at the end of the calendar year, you'll only need a regular hunting license (WMA stamp if you hunt on one of the many WMA's).
I've heard there are many opportunities for public land hogs in Florida, but I have no experience with that state.
I've hunted NC, SC, and GA. My pick, hands down, would be Georgia.