Probably not too close right now. Here's the lake levels.
http://lakeinfo.tva.gov/htbin/lakein...bmit=View+info
1710 is considered full. 1700 is about where TVA keeps it during the summer. So it's still down 20-25 feet. I stayed at that campsite years ago and it's my recollection the lake was still several hundred yards away in mid summer.