Roswell to the North Rim... that's a haul! I'd probably aim for a route that takes you through Flagstaff. It's a pretty drive, and Flagstaff itself is a cool town to spend a night or two in.
That route hits some serious elevation changes, especially around Laramie and into Utah. Be prepared for some steep grades, especially towing. I'd strongly suggest checking road conditions before you go, especially if there's any chance of snow. Trip...
Driving through in January? Brrr. It can get chilly that far south, especially at night. Definitely pack layers.As for stops... depends on what you're into! If you like quirky roadside stuff, check out some of the smaller towns along I-40, you'll fin...