Arguably most of the US government is unconstitutional under such a strict constructionist view of the constitution.

In practice, considering home construction and home buying are often transacted in interstate commerce (e.g. a company buying parts or supplies from out of state to build), it’s likely a Supreme Court case against a law relating to zoning could be upheld. The federal government already claims the ability to regulate other things such as guns constructed within the borders of a state and never moved outside them, all based on the arguments upheld in cases like Wickard that they possibly could affect interstate commerce.