We are thinking of relocating to the same part of TN and several of the houses we looked at have had a similar problem to what you are having so I have been looking into other options. Most of the Satellite network solutions looked a bit limiting for the cost but I found one that I will look into if we end up with a place with no broadband options.
Exede has ok rates compared to others but does have unlimited use in the middle of the night. I figured I could use the free times for some of the bigger scheduled downloads.
Other thing I discovered in some areas to my surprise was
Century Link, very fast fiber optic phone and internet.