Motorcycle carrier for 2350 on Ford Chassis

I am in the process of finalizing my choices to purchase a 2350 on the Ford chassis.  My desire is to have my motorcycle on a carrier on the back of the rig.  Has anyone found a suitable carrier for a 500 pound motorcycle that works for the 2350 without overstressing the rear axle?  If so, please give me some idea about what you found as a viable solution.  I do not want to tow anything behind the 2350.  This is the only issue for me before putting in a purchase order.  Thanks for any information you can provide.

You might want to think about upgrading to the E450 chasis. I did that on my 2350. It has a higher rear load rating.

If I tried to carry a motorcycle on the back of our 2013 2350 on the E350 chassis, the weight limit would surely be exceeded.  We found that our real axle weight was almost at the manufacturer's stated limit when we used it on our first trip back in April.  We had no unusual weight on board at the time, and I'm now very reluctant to store anything more near the back end.