Chicago>Denver>Glenwod Springs>Bryce Canyn>Tucson. November

We usually go in reverse part of that way in December to see our Kids in Salt Lake City for Christmas. So we go Tucson To Flagstaff, then up Highway 89. We do this every year. We have encountered snow from time to time. But just keep an eye on the weather report and give the road crews a few hours after a storm to clean the roads. But my guess is you'll be fine. Just understand there is a large detour on hwy 89 due to a landslide last year. you can read about it here:

89 Landslide