You consider deflation as a component of UBI. If the Fed routinely destroyed a convincing percentage of circulatable currency, it would eventually counteract the psychological component of inflation.
Everyone will earn x more dollars, every landlord will know for a fact that, no matter what, all their tenants will at least earn x dollars, every house seller and every lending bank will know that every prospective buyer can afford to pay x * 12 months * 20 years more.
What would we have achieved then? How does "destroying" money prevent it?
Bear in mind I know nothing about the effects and side-effects of monetary destruction.
Supply and demand needs to be fixed in the housing market. You cannot legally build an dorm style housing except on a college campus, even though a single small bedroom with a shared bathroom and kitchen down the hall is the cheapest possible housing. In some places you will spend nearly $100k just getting permits to build anything. In some places you can spend months or even years in community input meetings before you can get permits.
I recognize two zones: places where you play with something dangerous that you cannot keep accidents entirely on your land, and everything else. I don't allow any housing on or near the first, and I require extra plans. Farms and some industrial sites are the first. Most everything else is the second and should allow whatever use you want with minimal restrictions - it needs to be safe for fire/rescue crews, meet some energy standards... If it makes the neighborhood ugly - that is your first amendment right to do with your land!