A PO Box or 3rd party post receiving service such as MailBoxes etc or UPS store.

Also co-working spaces often have a virtual mailbox for a small fiat amount each month.

Otherwise the very notion of postal addresses is that they are public…but you don’t really have to use your name it could be

RESIDENT

Address

Or

Private (Citizen)

Address

Then only your order number with the merchant would be attached to the physical address, they’d have to send someone to the address to verify the living person (name)