I could be wrong but I think Newfound Gap Rd is closed throughout winter.
Okay I am wrong, I must be thinking of something else that you can go to on that road that's almost for sure mostly closed in winter (and I think people go skiing down that road as well).
I think there's a decent chance flakes fly in Clayton (they might actually fly on multiple days) but if he felt up to it, I would probably recommend a short side trip when his work is done, not to Newfound Gap though haha. I think you could potentially do something simple, get on 441/23 N out of Clayton and drive for a short while into SW NC and if this were to not change (can't count on that at all), I don't think you'd have to go far to see some accums.
I'm now saying something I probably wouldn't do as I'm a nightie, but you could possibly get up early on Saturday, drive to Franklin, have breakfast there, and then start driving home.