We were at Little Dix not too long ago. They list many room types but essentially there are two types worth paying close attention to, 1. the "new" junior and one bedroom suites and 2. every other room.
If you are willing to pay the large premium for the new suites you will have a room experience much closer to the Four Seasons Hualalai, but these rooms are farther removed from the beach.
All of the other rooms, with perhaps one or two rooms slightly farther back, are exactly the same and of very similar proximity to the beach.
We paid for an ocean view room, if I remember correctly, and I think if we went again we would book the absolute least expensive category. This is how little I thought of the difference between the room views.
We had a great time and thoroughly enjoyed the various beaches, the complimentary water equipment, boat trips, and their afternoon tea service.