With 45+ years of mountain driving behind me, it wouldn't bother me, but I doubt I'd enjoy it much either. I drove it both directions with a 30-foot motorhome 20 years ago. It was a pleasant drive, but I was constantly pulling over to let cars pass me, and that was 30 feet total, not 50+ feet.
Bear Tooth is currently closed due to recent snows. They just got it opened last Friday, and now the whole state/area is getting dumped on with rain in the valleys and snow in the mountains! I haven't heard when it'll be reopened, but I'd expect it to clear again in a couple days. Wind River Canyon (south of Thermopolis) is also closed due to mudslides, along with a few other highways in Wyoming. For anyone headed this way right now, check ahead. This has been the wettest May since '78.