novatz, welcome to irv2.
It sounds like you have a Workhorse W20 chassis, which has a GVWR of 20,700 lbs. and a GVCWR of 26,000 lbs. This yields a towing capacity of 5,300 lbs. if you motor home is loaded up to the maximum weight of 20,700 lbs. The towing capacity could be more if the motor home is not fully loaded; BUT
, as Bob Russo says, the tow capacity really depends on the rating of the hitch the motor home manufacturer installed. Like Bob, we have a W24 with a theoretical minimum towing capacity of 6,000 lbs. we but are limited by a hitch rated for only 5,000 lbs. My guess is that you also have a Class III hitch.
Also, as Bubba says, there is a good chance the truck really weighs more than 4,800 lbs. (especially with the Gold Wing in the bed). Published vehicle weights tend to be the dry weight for base models. For example, you quote a weight for a Saturn Vue of 3,500 lbs. Our 2006 Saturn Vue V6 AWD with fuel and some personal "stuff" in it weighs 4,080 by certified CAT scale.
Blue Ox makes several carriers
that can be mounted on the rear of a motor home. However, the carriers CAN NOT be used if the motor home has welded-on frame extensions and you CAN NOT exceed the rear axle capacity of the motor home. Click HERE
for calculations on rear axle weight and an explanation of the welded frame extension limitation. With only a 30' motor home you may not have frame extensions. IF the carrier works out, you may be able to carry the Gold Wing and tow the Vue. Otherwise you may have to choose between towing the Vue or towing the Gold Wing on a small trailer.