I'll check it out...definitely burning some extra miles going to the parkway, but it's also a beautiful ride I'd like to do, as well.
The Blue Ridge Parkway is, indeed, a beautiful ride and well worth the time and effort.
That said, November (possibly early December) has some challenges. The leaves are down, so you can see out through the trees if the weather's clear. But it's early winter, and you're planning to ride the highest parts of the Parkway, so there's a good chance of (in increasing order) snow, ice, and fog. Parts of the road may be closed, since they don't plow most of the Parkway. Almost all the on-route services will closed. Bring your own water, toilet paper, and trowel. You'll have some huge distances and climbs to cover from one motel to the next; I'm not sure if all the lodges at Little Switzerland will be closed, but you could be looking at Boone/Blowing Rock to Asheville, then Asheville to Maggie Valley/Cherokee. And anything you need, from snacks or energy drinks, to a meal, to dry lodging, will be 2,000-4,000 feet off route in that stretch.
If you still want to try it, consider taking the Virginia Creeper trail out of Damascus to Whitetop, then over the state line and down past Sparta, NC to the BRP. That'll cut out a couple hundred miles following the TransAm past Lexington, and then back southwest.