The best public safety is a 100% lockdown. At some point however people start to starve and eventually you end up with a collapse of government. Suicides, crime and other health issues spike. There has to be a balance. Any quarantine for tourists means virtually no tourists. Can the BVI survive another year without tourism?
One other point to be considered. At the moment there are 7.8 million known covid cases worldwide. Less than 70,000 are in serious or worse condition.