I just did that trip last year, however I did it in my car. There should be no issue for a MH, just be very cautious the first few miles while on the Rim Drive. Once you drop down from that it is a great road.
Enjoy the views, and make sure that you bring your camera. If you feel in shape, try to schedule a boat ride out to Wizard Island. Very cool
, very informative and of course very fun
! However it is a 1.1 mile trail down to the lake, with a 700-800 foot drop in elevation. Easy to go down, a little more difficult to go up
and bring your mosquito repellent (they are bad within the shade of the trail).