They have availability for Sun, October 2.....on expedia for 265 .00. It's only one night, but something is better than nothing. I have no idea about the bed type, though.
Maybe if you just get your foot in the door with that one night, there may be cancellations and they'd let you extend your visit. Stay in touch with them from now, till you go, to see if things have changed day by day.
You really need to book with them a minimum of two months in advance. Good Grief, we all have had reservations in with them 8, 9, and sometimes 12 months in advance.
But, they are expensive, and people do cancel, all the time, when they can't come up with the money...sooo.....last minute cancellations are a reality at a place like that.