For what it's worth, my group of four were down 11/2 through 11/12, and we used eMed Binax Now tests to get into the BVI, and for re-entry to the US. This was considerably easier than the process we went through in June, whereby we got PCR tests in the US before the trip, and PCR tests from Jost for departure.

My test results were never questioned. As Jason mentions, the CLIA seal that comes on the email from eMed is the key.