I made it about 50-55 miles yesterday. Aside from one kinda big hill up a dangerously winding road with no shoulder, the day wasn't too bad. It rained a bunch, but not all day. I checked out a small motel in this town and they offered me a rate of 25 bucks as a cyclist, which was nice. So I stayed the night there.
I contacted some folks on warmshowers who are right next to Mammoth cave national park. So if that works out (I think it will), I'll be staying the night right outside the cave! That way first thing in the morning I can go and be a tourist and see as much of the cave as I can!