John, that’s a perfectly acceptable route. I have walked most of that. It’s fairly typical Smokies hiking but misses what I would consider any of the highlights of the Smokies. Andrews Bald is juist off your route and would be worth seeing if you do this route.
To me, the highlights of the western side of the park are Shuckstack, Rocky Top and Thunderhead. Fontana Dam is pretty cool too.
I find the eastern side of the park more interesting. There are several fine routes out of Big Creek near I-40 that I would recommend more highly. Eastern-side highlights, to me, are Mt. Leconte, Charlie’s Bunion, Albright Grove, Gunter Falls, Mt. Sterling, Mt Cammerer.
You can put together a really nice loop starting at Big Creek, going up Mt Sterling, Gunter falls, Mt. Cammerer, and maybe even more.