Hey @ajordan depends how far north you're willing to drive.  Monte Sano State Park in Huntsville is nice.  Some nice trails and features to explore.  Not big mountains or anything, but nice.  Walls of Jericho is probably another to check out, but I've never been there myself.  Everyone says its great though.  Further north into TN/GA there's some beautiful trails near the Lookout Mountain area.  There's some really nice ones that overlook the river up near Chattanooga as well.