Don't know anything about middle TN spots, but state parks are off limits without specific permission from the ranger. Also TVA prohibits metal detecting on their property (including water AND dirt- see the state GIS to validate actual ownership of the dry), and of course national parks are off limits. I have been told that TN's national forests are also off limits, tho I have never see that in an official publication anywhere.
Pretty much leaves city property (parks, schools etc) and private where TVA considers themselves god.