We could also...build more housing and eliminate most zoning restrictions.

I also don't know what a "short term rental" is, that would devastate beach areas that rent out homes to tourists. I don't think that's a viable solution.

Housing prices have not gone up in any major way in a few major industrialized countries, Japan, Korea, Germany. You know what they did? They built more housing. Building in San Francisco, New York, etc is near impossible, especially if you aren't connected. Communities often vote against new housing because a) they don't want certain people in their area and b) we've wrongly viewed housing as an investment vehicle and more housing hurts values.