To the west of you about 15 miles I'm guessing down on highway 58 that the Turnpike runs into just past the interstate is a Tiger Haven. It's between Kingston and Lenoir City toward Lenoir City right before the Roane and Loudon Co line. I have a cousin that lives close to it. You can stand in his yard and hear them roar. I don't get down there often.
We have Bob cats in our suburban neighborhood here in Atlanta. Last year I heard a kitty meowing and got up and went out on the deck after midnight with the flashlight and a mother Bobcat had stashed her kit up in a woodpile next door while she sneaked down to the lake to hunt for a duck. It was so cute running around and then my flashlight brought Mom back up. I finally left them alone and went back in.