Contrary to popular belief if you placed a window AC on a level surface, like a table top, and ran it the design of the condensate drain from the evaporator to the condenser side of the pan would allow water to flow via something called gravity. I've clean many a window AC condensate pan and proved this while testing on a flat surface.
The Ac set up is similar to my Class B Xplorer I had only the AC was in an overhead above the bed and I never had to roll the front wheels of the Class B on blocks to allow the water to drain, nor did I have any problem.
Because it is a new unit, under warranty, and as much as it isn't a pleasant thought, I'd bring it in for warranty. Either that you have to pull the AC out, remove the AC cover and see if there is anything blocking the path for the condensate to get to the condenser coil.
Some other causes are: fresh air vent not closed properly, evaporator coil needs cleaning, filter needs cleaning, not sealed well around the AC cabinet, camper windows open, folks in and out of the camper, cooking with vent fan off or vent door not opening.
When you start leaning your camper to correct the AC drainage problem you may run into problems with your refrigerator being unlevel. Start with leveling your camper and check those areas I mentioned above.