The Stone's River would be the closest river for you to fly fish in Murfreesboro since it runs through Murfreesboro. The only question I have for you is what species of fish are you hoping to fish for? If it is trout, I am not sure the Stone's River is where you want to go. I am thinking the Stone's River is more of a warm water stream and if it is not, I am sure someone here will correct me.
Warren
Fly fishing and fly tying are two things that I do, and when I am doing them, they are the only 2 things I think about. They clear my mind.