Camping spots near Baton Rouge?

Looking for a place to take the family camping around Baton Rouge. Obviously nothing in or within a few minutes of the city, but up to an hour drive. Don't want to go to a place that rents cabins and all that stuff. We want to get away, pitch a tent and kind of rough it for a few days. I'd like a place I can bring my 10/22 and maybe get a few squirrels for dinner, and hopefully bring my fishing gear and catch some fish. Anyone have any spots they like to go to? I really have no clue what is around this area. Thanks.