The EPA can do whatever they want under NEPA as long as Congress writes them a check.
I’ll take a swing at this one.
If states and localities so choose, they could tell the feds you had better not send your inspectors to the homes of our citizens or we will stop you by whatever means necessary.
The Constitution protects us from unlawful searches. Have we committed a federal crime? Where is the search warrant? Etc. Etc. Etc.
Tenth Amendment.
A 1969 EPA law cannot trump the U.S. Constitution.