I am a beginning kayaker, if that's even a term, but my dad and I recently took a trip in Sandy Hook, KY from the Laurel Gorge Visitor Center drop-in to the first boat ramp you encounter in Grayson Lake State Park on that route. It was approximately 5.33 miles worth of paddling, according to the MotionX GPS app for my iPhone.
This trip was a very calm, serene, and visually beautiful trip. If you like a relaxing trip down a calm river headed in the Grayson Lake then I would suggest this trip. It has many coves to check out with waterfalls, rock formations, cliffs and plenty of forest surround you.
It starts out narrow and then as you would expect widens somewhat as you head towards the lake.
To start there is a very nice drop-in down below the visitors center there and they can guide you to the area and give maps of the area as well. You can't miss the drop-in or the take out and technically you could make it as long of a trip as you would like.
I hope this gives a well enough explanation or may be just some rambling but it's a good overall trip that I may do again sometime.
There is local accommodations called the Little Sandy Lodge. I have not stayed there but it is the only accommodations available to my knowledge
No Fees or Permits
Easiest way to get there would be to take I-64 east and get off on the Grayson, KY exit 172 and head toward KY-7 South and approximately 20miles look for Laurel Gorge Visitor Center signs on the Left.
Map given to me by the Laurel Gorge Visitor Center and MotionX GPS app for iPhone