We've had crew picked up a taxi at CGB for the 10:00 ferry out of Road Town on two occasions for flights that departed between 2:00 - 3:00 pm out of STT without incident. Our boat, Ocean Song, is a TMM boat and (as mentioned in an earlier post) Andrew is very good about making sure he gets you to your destination on time. Talk to Andrew in advance and he'll set it up. Andrew's # is 1(284) 496-8430, tell him "Ocean Song" recommended you call him.
The ferry is operating out of West End. We departed from there in December (2019) and had crew depart from West End on November 30th. We left on the weekend and the ferry went to Red Hook. I think the ferry also services CA during the week.