Launched from the Seven Islands boat ramp (which is a separate parking lot just before the main park entry.) Paddled downstream 2 miles or so around the park and past the islands. We found a spot to picnic on the islands then headed back upstream to our cars. Really calm water and beautiful scenery, very little motor boat activity. TVA tailwaters elevation was 868-869. If I do this trip again I wouldn't go past the islands because there's many shallow areas and it's difficult to paddle back upstream.
Seven Islands Trail and River Map from TN State Parks Site. TVA lake levels and tailwaters website.