K.C.,
you're asking for advice so here's mine..............
2 days ain't enough time...
you'll be travelling thru some of the most scenic country in America, so there ain't no "bad rides or roads" thru this neighborhood.
As for directions from Yellowstone to 4 Corners, take U.S 20 to I-15 So. thru Salt Lake City to U.S. 191 thru MOAB,Ut over to US 160 & on into 4 corners.
On the way you'll be passing thru Arches & Canyon Lands N.P.'s alogwith Monument Valley & a whole lot of other places.
2 days ain't enuf....,but enjoy what you can.
JMO
the hobo