Pine Mountain State Resort Park offers some really cool trails and is Kentucky first state park. Pretty rustic and clean cabins. One really cool feature is Chained Rock which is a giant bolder that is tethered to the mountain to protect the small town below in case it falls.
Make reservations early. Glacier Basin campground was a awesome place to camp. I suggest camping near the southern portion of the area where you can have a little more privacy while being close to the bathhouse. Beautiful views and quick trail access while having just a short drive to glacier gorge trail head.