In reply to abr1966:
Fly to Vegas, rent a car and do a big circular road trip heading northeast through all of Utah's national parks, up to Rocky Mountain NP in Colorado, then south through the Rockies via the Million Dollar Highway till you hit the desert. Head back to Vegas via the Valley of The Gods and the Grand Canyon.
Vegas
Zion
Bryce Canyon
Canyonlands/Moab/Arches NP
Rocky Mountain NP/Boulder/Fort Collins
Ouray/Silverton/Million Dollar Highway/San Juan Forest
Valley of the Gods
Grand Canyon
Vegas
That would be about 2000 miles of driving and give you some of the US's best national parks, scenic roads, mountains, deserts, canyons, hot springs and breweries