I always thought Drake went back to England, fell out of favor with the Queen and was never given another commission.
After his initial globe trotting he remained in the Queens service fighting the Spanish for years.
He secretly married Elizabeth Throckmorton, her prized lady in waiting, without her permission. Both temporarily flung in the horrible environs of the Tower of London. Sort of allowed to drift off elsewhere with sweet Elizabeth.
No scholar here myself, but did know of poor Sir Walter's tragic end at the hands of the Queen's successor. I used WIKIPEDIA for the update.