Living near Decatur, your closest management area is Black Warrior, located within the Bankhead National Forrest. The Black Warrior management area is noted for producing at least one "trophy" buck per year, and usually a few more than that. Also, there are wild piggies there. Terrain is rather steep, but should be no problem if you're in fairly decent physical condition. Also, within the Sipsey Wilderness Area of the WMA, no motorized vehicles, of any kind, are allowed.
AR-10's are legal, just make sure the magazine holds no more than 10 rounds, or you're in violation of the law.