When we rented at RICLP we found a unit that fit our needs on the website others have noted. We contacted the owner and rented through them directly. A week later the same unit but for the following week became available through the rental site manager so we ended up with back to back weeks in the same upper floor two bedroom unit. It was lovely. We could watch the planes at the airport from the hallway outside our door or see them coming in to land from the balcony off the living room.
The only thing I would forewarn you of is the Royal Islander La Terrasse is across the road and while it’s close, it’s just not as convenient to the beach if that is a main priority for you. The pool there is lovely and particularly at night but of the two I would only stay at RICLaPlage.