Possible Clues:

• Stranded like Gilligan
• Marooned, in a way
• Placed on Capri, e.g.
• Banished to Elba
• Cut off from the mainland
• Isolated, in a way
• Placed on Capri
• Always near a beach?
• Like many 'Survivor' contestants
• Stranded in the middle of the ocean, say