Just drew this up. It looks similar to a ride @2talltim and @Casper and I did a few year ago without stopping at NOC. Looks like a good ride if you got an early start and stopped for breakfast.
https://www.google.com/maps/dir/Fontana+Village,+NC/13077+W+Hwy+19,+Bryson+City,+NC+28713/34.6273013,-83.9495696/Wolf+Pen+Gap+Country+Store,+Wolf+Pen+Gap+Road,+Suches,+GA/Ducktown,+TN/Tellico+Plains,+TN/Fontana+Village,+NC/@35.1020788,-84.2480356,108876m/data=!3m1!1e3!4m49!4m48!1m5!1m1!1s0x885eb8ee9bc41c5f:0x448b383171bc3f8a!2m2!1d-83.819065!2d35.4356433!1m10!1m1!1s0x885ecb3535610b35:0x7a7b6e6e433cbf5f!2m2!1d-83.5923577!2d35.3318883!3m4!1m2!1d-83.8843935!2d35.0519376!3s0x885f208679915799:0xd3d46b72388f7caf!1m0!1m5!1m1!1s0x885f6c99536d93e3:0xb7c67833fc0c9e3b!2m2!1d-84.0219948!2d34.6891957!1m5!1m1!1s0x885fac574eb1e8af:0x8f22f0dbdc27df07!2m2!1d-84.3827012!2d35.0359126!1m10!1m1!1s0x885ef5cef1140925:0x3ce678d9c35d5f62!2m2!1d-84.294087!2d35.362855!3m4!1m2!1d-84.0289253!2d35.3362176!3s0x885eec1c839a2fd7:0xa4086c48916f9121!1m5!1m1!1s0x885eb8ee9bc41c5f:0x448b383171bc3f8a!2m2!1d-83.819065!2d35.4356433!3e0