Right now there's no such thing as cheap fence and 250 ac will be expensive. Of course there's no such thing as hog proof fence either, they will tear it out of the ground.
The first step would be to check with the state of Georgia. You can not legally erect a high fence if you have under 600 acres without a permit. Even then all game animals must be removed from the enclosed area prior to the fence being completed.
I would have to see some folks go to all the expense of having a fence put up to find out they have to tear it down.