If you are traveling in October you have a good shot at getting something. In addition to the few studios and 1BRs there are also some Grand Villas at HH, but most of the units are 2BRs. The difference in points between a 1BR and 2BR is far less at HH than at the other properties because of this.
I would suggest calling right at the 7-month mark and going on the waitlist if what you want is not available.
Good luck!