You best get a hunting license, unless your on private property killing deprading hogs.
If your Trapping Hogs , or Baying them with dogs, a .22 Rimfire will work. (With Head Shots)
If your hunting out of a blind, and want a good cheap rifle, a Mosin Nagant, 91 30 would work perfectly.
Also check on hunter education, its required in this state.