Beginning on Arizona Hwy 89 north of Phoenix, this motorcycle route includes some twisty road 10 miles south of Prescott, more near Jerome on 89a, and more twisties 15 miles north of Sedona. Both the south rim and north rim of the Grand Canyon are on this route that crosses the Colorado River at Marble Canyon. The original 1929 bridge has been converted to foot traffic and there's a parking area so you can stop and enjoy the view. There's plenty of accomodations in nearby Page, AZ, so you could see the south rim one day and the north rim the next.
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If you have the time, continue northward into Utah and enjoy the views at Zion National Park and Bryce Canyon NP. Here's more info and photos.
Here's a larger map with directions.