Springerville to Morenci (191 going south) is a tad more challenging than riding it uphill; although, I usually ride it both ways. You might take 78 east (a bit south of Clifton) to 180 and go north on 180 to Alpine if you don't want to ride both directions. Much of 78 is twisty, too. The fire kept us from doing that this spring.
2009 Honda CRF230L (L'il Red Piglet)
2014 Honda CB500XA (Daily Rider)