If I understand you correctly. The shortest tire for a 20 inch wheel is 40 inches? I would not want to go that big on my rig. I would try to stay away from lifts. Thank you for the research.
Incorrect. I know for a fact that Continental makes and MPT in 275/80R20, which comes out to 37" mounted on a vehicle with some weight on it and probably 38" inflated and off the truck. Since there are many companies that make an MPT type of tire, I cannot imagine that Conti is the only one available in this size. Additionally, there are MANY truck tires made to fit 20" wheels now. Their suitability will depend on your weight requirements and intended usage.
It is a moot point now, but for anything other than a highway/freeway truck, there is no way I would use a low profile tire that cannot be aired down and put that tire onto a 22.5" heavy truck wheel. Might as well just buy a big class A motorhome and make a tour of all the national parks and KOA's. They are incredibly stiff tires, even at moderate pressures, are not widely available in the size you quoted and can generally only be serviced by a heavy truck shop, not something you may find in a rural area or in every small town/village. Will the tires work in this application? Probably. Could I walk around the country or ride a bicycle around the world? Theoretically yes but that does not mean its the best idea or that I want to do it.
I wish you the best of luck, but it appears to me that some of the original goals and plans have gone out the window here and we are a bit off onto another path.
Cheers