Way points, previously CYOA allowed qualified crews to sail to St Croix. They also allowed boats to visit SVI.
According to the internet, there is a customs and border protection office in Christiansted. If you clear into the USVI in St John, then there is no need to clear into St croix.
This trip would be easier if you chartered out of St Thomas.
Warren S/V Scuba Doo Lagoon 50 (winner of best crewed yacht under 55 feet at the St. Thomas crewed yacht boat show).