Do I need a distribution hitch on a air ride diesel pusher

I would think not. I'm not sure how much of the tongue weight could actually be shifted to the front axle on a self-leveling air suspension chassis, assuming the hitch is actually designed for lifting the rear of the motorhome.

Just be careful to get enough tongue weight so you don't have swaying.

I have never used WD with mine. My trailer rides low enough that the WD bars would be constantly dragging.

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.

if the tongue weight is under 1000lbs I would try it without, it sounds like you may be close. Also check rear axles weight as mentioned above

I can't see how it could actually put any weight forward on the coach.
At any rate, I don't think it's needed and I would try it without first. If it drives OK and the TT doesn't wander around, your good to go.

While it probably won't hurt to use one, IMO you don't really NEED it.
The same goes for "sway control". If your trailer is properly built and properly loaded, it probably is not NEEDED, but using it won't hurt anything.
Enjoy your travels.

There's no reason you can't use air ride with WD. I think that's a myth based on the fact that light-truck air suspensions had you turn-off auto-levelling until the WD bars were installed. That said... is your receiver rated for WD? If if doesn't have a WD rating, and is only a 4-bolt style receiver, it probably is not designed fro those forces.

Probably just need to scale it to know if you need WD. If you're over the rear axle weight with the trailer, WD might bring you back under. Just stop at any closed ODOT scale. I think it's unlikely your front axle would unload too much. The one by the Corvallis landfill on 99w has a nice wide driveway, in case you wan to do a 4 corner weight, and it's almost never actually open.