Since your itinerary already includes Scrub, you might consider heading there first thing on your first day. Your other family would be able to walk from the airport at Beef Island over to Trellis (it's a very short walk) and catch the Scrub Island ferry and meet you there. Your early group would be able to explore Scrub Island, get a massage, take advantage of the pools (swim up bar and water slide are pretty cool) and/or beaches and relax and enjoy while waiting for the second part of the group to arrive.

Scrub
Cooper
Baths (leave Cooper early and do the Baths first thing before the crowds arrive)>Dogs>North Sound
JVD (a "longish" sail, by BVI standards, but will typically be a broad reach or downwind and you can stop off at Monkey Point for a snorkel to break up the sail if desired)
Norman
Back to base

https://www.scrubisland.com/location/
chrome-extension://efaidnbmnnnibpcajpcglclefindmkaj/https://www.scrubisland.com/content/uploads/2021/12/Scrub-Island-Ferry-Schedule-2022.pdf

Have fun and let us know how your trip went after you get back!