This is the reason they need to hire me as their floating librarian. I would keep that place in tip top shape. They should especially have someone on the WC.
In all honesty Joanna, I have been to several resorts or resort cities that have a paperback section on the honor system. No checking out. Many people keep the pbks but many return or donate what they have already read. It tends to even out. At the Vail library I can still see books I donated 10 years ago, and many that were given the year before - gone forever.
I don't know the RSSC policy, but if you actually take them to the library & not leave them in your room, they have a better chance of finding a home. I am sure the staff will take them, although I can't imagine when any of them have time to read.