No, mostly gravel roads.
You're well within range of other people most of the trip. A short hike will usually find you someone.
Single vehicle will be just fine.
I agree with Logan. Solo vehicle hasn't been a problem for me. That's actually my preferred mode of travel and camping; just me, wife, dog, owls, birds, butterflies, bugs and wildflowers.
Since I'm a 'local' I frequently take a day or three during mid-week to run-camp but usually select only one or two sections of the Traverse during an outing. Typically not running the route border-to-border (SC-AL or the other way).
I prefer the night sky and wildlife sounds vs lots of ppl chatter and lights flooding the area.
And yes, of course, I'm an old fart so my preferences are much different than most of those I see on this forum. Not that I don't like people but living inside the perimeter of Atlanta tends to make me want to get away from traffic, people, and noise most of the time.
To each h/h own. Enjoy the traverse!