We just got back from Nassau on June 10th. We spent a whole afternoon @ the Crystal Palace. Walked right through their lobby back to the beach. Everyone welcomed us. Spent a copile of hours on the beach. Our sons rented waverunners. Then, we went to the pool (a huge pool with a waterslide), bought a couple of drinks, and relaxed. Took the Jitney (bus) both ways for a dollar per person each way.
Look for bus #10 to Cable Beach. You may need to walk a couple of blocks to get the bus. We got it in front of McDonald's. Its worth it. Cab fare is $5 a person for one way. Spent the whole afternoon, and the cost (other than the waverunner's) was little to nothing. I would not recomend taking the RCI tour. It sounds like a rip off