UnifiedOnline Inc fka UOIP

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A Certified Letter doesn't demand anything other than acknowledgment that it has been sent and received. If Signature if required and no one is home to receive it, the postal worker will leave a note that a delivery attempt was made. USPS only makes one delivery attempt. After that, the carrier returns the letter or package to the nearest post office. The post office will hold unclaimed certified mail for 15 days before returning to the sender.

The likelihood of Billy not being home or as you say, visiting a private island, is far greater than him receiving the mail as intended, by which he would probably throw in the trash anyway.