As I'm sure you know, there aren't many concierge villas, just FIVE 2BR lockoffs total. Assuming one or two of them are rented as 2BR units, that leaves maybe just three studios and three 1BRs. Since the booking window for those rooms opened in June it's not surprising they are already gone.
Having said that, sometimes people do cancel even hard to get reservations like this. A month ago, I cancelled an early May reservation for a Concierge Studio. I guess somebody else already grabbed those nights. But I mention it just so you know that cancellations do happen. And I was able to rebook for other dates around that same time, to my great surprise.
Good luck! And if it doesn't work out this time, as an AKV owner you will be able to try again, hopefully right at the 11-month window next time.