Rather than having a taxi stand with waiting cabs like most hotels, they seem to have a contract with a private car service (not sure what company) and there were consistently 3-4 towncars or black SUVs waiting to drive guests at the front of the resort. Just tell the bellmen at the front door you need a car, and they'll flag the next one for you and they will pull up. They seem to operate on a flat fee rather than a meter. Much more comfortable and cleaner than a cab too. If you'd prefer a cab, I'm sure the bellmen would call one for you but I think you'd have to wait. Seems like only these private cars are allowed to wait on property.
Not sure how much going from RPR to BCV would cost - we went from RPR to the airport - but we took a regular cab from CBR to RPR and it was around $28 with tip. Just an FYI so they don't try to overcharge.