Not a big expert, but normally you don't pretend to be "someone else", you would rather present yourself as member of a company/organization/foundation and get every piece of privy information from it (address, phone lines, accounts and credit cards...). You can play this card once, or you can play it multiple times, "hopping" through organizations that control other organizations, preferably across different jurisdictions.
There was a very good article from Jameson Lopp, you can find it here: https://blog.lopp.net/modest-privacy-protection-proposal/ There's also an interview with Peter McCormack (done almost four years ago) here: https://www.whatbitcoindid.com/podcast/personal-privacy-and-safety-in-the-surveillance-age-with-jameson-lopp