Don't know if a route exists without some climbibg involved , just remembered that the road north from Flagstaff through Page AZ had a huge landslide in early March and there may still be a long detour in that area, and the new bridge at the Bolder Dam is subject to high winds , and very often has travel warnings for trucks and RVs.
Tucson - Quartzite- Lake Havasu City- Needles- Las Vegas- Salt Lake City on the freeway would be my choice.
CA. 95 from I-40 to the NV border is rough but less climb than NV 163 out of Bullhead City.
NOTE: Needles CA. is the most expensive fuel in CA. make sure you don't plan there as a fuelstop.