Wait lists are kind of funny. they tend to open up if you leave the waitlist active for 7 days before arrival. A lot of people cancel prior to the 31 days window, so your chances are better if you “let it ride” until the very last minute.
If you have the extra points, reserve rooms as they become available at AKV.
It is more difficult, and you will have to make a final decision on it before the 31 day window closes, but it is an option.