I've always wondered whether higher-level "global top-down" market distortions (i.e. ones that use economic statistics as an input) would work here, where these sorts of naive "local bottom-up" manipulations fail.

For example, requiring that home sellers sell their homes with total consideration (incl. any required "side payments" to third parties) matching the mean market value of equivalent homes in other non-manipulated markets.

Or requiring that homeowners get their home appraised, and then legally mandate that consumers be charged a total compensation of at most the appraised value minus 10% to buy said home; with it being left up to the homeowner how to make that happen. (Where they can apply for their own government grants or whatever else, but they can't do anything that increases the total compensation demanded from the buyer—which would include taking any grants given to the buyer for buying a home.)