What about the accent found on Smith Island? I believe it also has a great deal of Elizabethan English influence.
Relevant video about Smith Island and the 'High Tider' accent used by many of its inhabitants:
Relevant video about Smith Island and the 'High Tider' accent used by many of its inhabitants:
I also had two friends during my time in the Caribbean who were originally from the Outer Banks. I don't remember which island exactly, but they both had noticeable accents that were unlike anything I had ever heard at the time.
Watching videos about the various Outer Banks accents definitely reminds me of them.