Congratulations! Our 170 is a couple years older. Be careful, sounds like you're starting your trip during this deep freeze. That's 4 tons of weight you're driving around!
Your route is sort of the reverse my son and I took back in 2010. We chose to follow the old historic route 66 which is essentially now hwy 40, but the old parts of 66 still accessible on/off the new highway. Especially coming from Illinois, you'll probably go portions of your drive on 66. Stop by Winslow.."take it easy" Jackson Browne...see La Posada hotel. Petrified forest, the big crater, Bryce canyon, Red Rock, Navajo lands, canyon de Chelly....too many to see. Never been on hwy 10 but I'm betting the old 66 will be more fun. And if you do go this way, a good quick guide book is the EZ 66 Guide by McClanahan.
My late mom and my sister being nurses, I applaud your choice of profession. Happy road trekking...
2001 RoadTrek 170, Dodge 2500 5.2L V8