Harbison State Forest features 20 miles of hiking trails near Columbia, SC.
Exit Broad River Road (Exit #65), go north (actually northwest) for about 3 miles (until you see Smokey the Bear sign on right, you will also pass several prison facilities on right), look for sign on right for Harbison State Forest, parking lot is there.
http://www.tripleblaze.com/trail.php?c=3&i=231