I'd go deep South ...Frankfort, Nashville, Little Rock ( to see these places that I haven't been to) then you'd be on a line fore for Flagstaff, Taos, Grand canyon, etc.
Nothing much in Iowa or Kansas or Eastern Colorado, just farmland if you're driving through. Central and Western Colorado, and Utah is something to see if you've never been there....I lived there ( Colo) for 3 years so I'd prefer to see the more Southern places I haven't seen.
Depends what Ya want to see.
4 days direct driving ( 750 miles a day) if you drive hard, but you wouldn't do that....just fly if rushed. Even a week to get there involves 400+ miles a day. or maybe 7 hours driving a day....more if not going like a truck driver on a schedule.
I think you are talking about a leisurely week + to drive it....hopefully to reconcile ?