What about (unfortunately my rep) Jim Cooper? He still has that "blue dog" appeal despite being reliably liberal on most issues. A drawback is that the Democratic Party would need to come up with a secession plan or scheme to move him to Cohen's seat in Memphis, since he is quite likely to be out of a seat in Nashville following 2020 redistricting since Nashville is D+7, but is surrounded entirely by TN-4, TN-6, and TN-7, which are all R+20 or so. There's no reason to expect anything other than four ~R+15 districts that contain pieces of Nashville.
Show me a map that would produce an 8-1 R delegation in Tennessee.
I can't get the redistricting thing to work on my computer for some reason, but it's really simple and would have been done in 2010 if the state legislature realized that we were permanently an ultra-red state on the state level. Essentially, you slice Nashville up like a pizza between TN-4 (DesJarlais), TN-5 (Cooper), TN-6 (Black), and TN-7 (Blackburn). Their PVIs are R+20, D+7, R+24, and R+20. That means that you can draw four ~R+15 districts (57/4=14.25). All four would be completely Safe R.