Welcome Sammie to iRV2.com and the Winnebago group.
Never thought about this let alone tried it. Unfortunately I have no chance to "lab" it for you in the next couple of weeks. Maybe someone else can volunteer a simulation.
I can't think of a reason why you couldn't drive it a few feet with the air bags dumped. I'd be concerned about leaving it fully dumped without offloading weight to the jacks.
The parking brake has to be set for anything on the HWH panel, including the dump button, to function. Once dumped you have keeping the air bags in a dumped state until after you are ready to back out again. This could be problematic as the system tries to be smart.
If you dump and don't deploy jacks it seems to me when starting the coach again with the jacks up and panel off the air bags would re-inflate ASAP.
On the other hand if you dump and do put the jacks down to lift just enough to take a load off when you go to store the jacks the system will re-inflate the airbags automatically.
Rock-n-hard place?
Maybe someone has a wiring mod to defeat the automated part of the system.
Then there's always the possibility of remodeling the garage some.