Four Corners can be completely "enjoyed" in 30 minutes. All that's there is a place to stand in 4 states at once and a bunch of booths selling Native American jewelry and trinkets and fast food. It costs $3 to drive in.

Chinle to Las Vegas NM is about 350 miles - figure at least 7 hours. Mesa Verde to Las Vegas NM is 325 miles, also about 7 hours. Shiprock is somewhat out of the way of both these routings.