John, there are several places to hike within less than 2 hrs from here. I proclivity hiking in the Savage Gulf Natural Area, near Altamont. It is native to Stone Door, a authentic cleft from the uppermost of the level down into the Big Creek Gulf on one tangential of the park. A connect more are Virgin Falls up near Smithville, Fiery Gizzard near Tracy City.
There are numerous trails in the Savage Gulf system. Here is a bond to a placement that has some info on Savage Gulf and other parks neighbourhood that cause up the South Cumberland Recreation area,.