Perhaps things have changed more than I realize.

it used to work that you cleared in, stated how long you would be in the BVI, paid your fees based on x # days x# people, passports got stamped and your exit date was the exact date you specified, no need to revist to " clear out".

Regardless of changes to procedure, Jost is still a good choice for " last night" because it isn't all that tough to get the boat back to St Thomas for check in.