Ok thank you. It's a good problem worth thinking about. It seems like you have to go outside of traditional fiat post altogether. Please keep us posted if you think of anything that is worth trying or testing.
Discussion
I have had a few btc and monero people switch to signal or proton after zap or invoice payment. Then give a proxy address. (friend or private business they know)
They seem comfortable with a little extra work for privacy.
If you are in a country that has Inpost lockers, you can use made up info. Provide the seller with the address of your preferred drop box anddisposable email. No ID required for pickup, just a qr code sent to that email