Is this kind of theft common in BVI or wider Caribbean?

When I worked at a large Marina in the UK many years ago we had a stack about 6 inches deep of print-outs of all the Yachts stolen from the south coast of the UK. Hundreds and hundreds every year. So it was certainly very common there. Easy enough to spirit them away to so many different countries within a few day's sail.

Very, very long shot...but have you tried looking on Instagram? There are hundreds of photos posted by people every day with #BVI or #Leverickbay etc. You never know what could be lurking in the back of someone's holiday snap...