I have canoed the Big South Fork of the Cumberland many times. There are several put-ins: Burnt Mill Bridge which gives you a 3 mile warm-up on the Clear Fork River down to the confluence with the New River of you can launch at the confluence. It is about 7 miles from the confluence to the take-out at Leatherwood Bridge. There are a lot of class 3's and several class 4's and the scenery is spectacular, I recommend scouting Double Drop (river right) and The Ell (river left). It is a long shuttle but well the effort. Oneida, TN is the closest town. I hope you and your group have a great trip!