Hey RamRod
I see you are over in Murfreesboro,tn. Stones river is an ancient river that runs through town there to the dam it is all cut limestone with much ancient habitation. Look for flint. You are also close to Duck river then go a few miles and you have Flint River over towards Decherd,Tn. I have hunted all these rivers with success first time out. Lots of farm fields along creek towards Monteagle holds artifacts just make sure you get permission before stepping off the road.
Keep at it and good luck.
TnMtns