Refer to the towing section in the owner's manual of your coach.
There, it will state Winnebago's policy on using the coach to tow, and whether a WDH should or should not be used.
Failing that, refer to the ratings on the receiver itself. Typical receivers have two ratings, one with WDH, and one without (weight-carrying or WC rating). If there is no mention of a WDH with the 1000/10000 rating, then the vehicle and receiver are rated to tow that full amount with no WDH required.
Putting 10-ply tires on half ton trucks since aught-four.