Here is one of my favorite itineraries...

1/23: Cooper
1/24: Marina Cay
1/25: Leverick and rental car to the Baths
1/26: Anegada (We always rent a car here because it is cheaper for us when we have our kids. For just 2 you could always rent a moped. Rental is so much cheaper than a cab and you are on your own time and can check out multiple beaches. We like Cow Wreck and Anegada Beach Club but if you have never been there definitely check out Loblolly too.)
1/27: Anegada if you want 2 days. We usually only have time for 1 day.
1/28: Diamond Cay, Jost Van Dyke. Check out B Line, Sandy Spit and Foxy's Taboo
1/29: White Bay or Great Harbor (If the weather is good we like to stay the whole day and night in White Bay but many people prefer to overnight in Great Harbor instead.)
1/30: Norman Island
1/31: Return the boat

Of course all weather dependent and how you feel that morning!

I like this itinerary. I would find it very difficult to go to the BVI without a day or two at Anegada. But I am a little biased. But of course weather.......