I don't know if it works the same way but the Gift of Life house in Rochester, MN partners with hotels in the area for special pricing while you are on the wait list. It wasn't a lot more than the price of the house.
The time spent before and after surgery varies greatly from person to person. So if they have someone scheduled to stay for 4 weeks, they may leave after 3 weeks, opening up spots sooner.
There are also scheduling mix ups and last minute cancellations that can work in your favor. Get on the waiting list. Don't lose hope!