Near Park City, the 53,000 acre Mammoth Cave National Park has 60 miles of above ground hiking trails, in addition to the extensive subterrain, to explore around rock formations. While in Mammoth Cave, make sure to check out Big Woods, Kentuckys last stand of old growth forest.
Two routes to check out include Sal Hollow-Good Spring and First Creek (15 mi.) for waterfalls and sandstone bluffs. The Good Spring Trail is a 16 mile round-trip trek traversing oak covered hills past streams and waterfalls. The trailhead is at Good Spring Church.
A good place to start is the Visitor Center. If you travel south from Lousiville, KY, the most direct route is I-65 south to Exit 53 at Cave City. Go 3.5 miles on SR 70. Take a right on Violet City Road and go 4.4 miles. Turn right on Mammoth Cave Entrance Road and go 1 mile to the Visitor Center.