Remote Australian town seeks a doctor, offering a $400k salary and free rent

There's a post office there, you can send and receive mail, there's quite probably someone delivering mail to mailboxes in town and within a 5km radius (or more).

Amazon will either deliver via post or have a contractor for the area.

Street View Post Office: https://www.google.com/maps/uv?pb=!1s0x6a24cb38b99ba2a3%3A0x...