This is doable. A couple of thoughts for you.

Monkey Point is a great Snorkel area. If you get there early, you can get a ball right up close to the snorkel area. If not, just off to the N is White Bay (not that White Bay). There are balls there too. Just dink over from there and tie up your dingy on the line provided in the snorkel area.

It's about 8 nm to Diamond Cay from MP. Foxy's Taboo in East End (Diamond Cay) has a dinghy dock. There are some balls to the NE fairly close to it. Assuming you'll be there around 1-2p or so (after visiting MP) it's not likely there will be a big crowd there. From the dingy dock to the Bubbly Pool is a short hike of about 10-15 minutes for adults.

The good part is that Little Harbor is literally just around the corner from the spot you will have visited the Bubbly Pool from .... maybe a 15-20 minute motor.

It's quiet there. Its also a well protected spot from swell coming from just about any direction. Keep in mind that you get a free ball if you eat at Abe's, at least we did last year in June. There are two or three balls within less than 100 yards of Abe's dingy dock. Abe will also drive you over to Great Harbor if you want to go to Foxy's over there and you should. Sydney's is right across the harbor and I think he give's free internet to eat at his place. Both great eateries. There's a little store at Sydney's. Call and ask what their deals are. Abe's has great Lobster (not cheap)and a cool honor bar.

The point is you can stay on a ball 2 nights if you want to visit JVD for that amount of time in the quieter Little Harbor and still access everything over at great Harbor. If you like to party though, Great Harbor is your place.