If you are going to be in the Phoenix area, you have to go north and see Prescott, Sedona and Jerome. It's off the highway (route 89) and some of the most beautiful country one can imagine.
Think of starting on the desert floor (cactus, flat, scrub brush) and as you travel north the scenery will change until you are in a forest at over 7,000 feet (that's right, higher elevation that Denver (mile high) Colo.
Prescotts rugged mountains and old town feel is great for visiting (Whiskey Row, downtown). Sedona has some of the most breathtaking red rimmed buttes and mountains around, not to mention the "vortexes" and other new age spiritual stuff there. Jerome, a city literally built on the side of a mountain is amazing. Step out the front door and your on the street. Go out your back door and drop 1,000 feet straight down.
And in between all sorts of great views, small friendly towns and super motorcycling.
A round trip covering this area can be done in a day.