Hi Eric,
while you can find a small sailing boat to charter the BVI with, a ~30 ft monohull is way less comfortable than camping.
My and my wife have done exactly that a couple of years ago on a 31ft monohull and, while the experience was fantastic, we had a couple of times where we wished we were on a more stable and bigger boat.
A few of the issues: lots of rolling and movement at night, cabin so small and hot that was hard to sleep, fridge with so little power that it was useless, etc.
We are planning to do it again on a bigger more comfortable boat (a catamaran) this spring/summer (June/July) and we are looking for cool people to share the adventure together.
Would you be interested? If so email me and let's chat
itnem80 at gmail
Cheers!