This would be best asked in the
DVC boards...
But...as an AKV owner, you probably wouldn't have too much of a problem booking a room at the 11 month window. AKV is going to be fairly big.
You can't make a reservation at another resort until the 7 month window. At particularly busy times, it may be extremely difficult to get a room at the smaller resorts (BCV, BWV, VWL), depending on room type, etc.
For example, for Food&Wine, a lot of rooms are already booked at BCV and BWV because they are close to Epcot. I called at the 7 month window, and all studios were gone, but there were a couple of 1BRs at BCV left. I was actually surprised they were available at all - I've heard its tough for the owners there to get rooms at the 11 month window...
Other than when we first purchased and booked a couple of trips, we are thinking WAY ahead on our next stays...so we book our home resort at 11 months and then if we want to we try and switch at 7 months.
Inside 7 months chances of getting a room diminish regardless of your home resort, how fast depends on how busy it is for DVC (as previously mentioned, DVC seasons do not match standard Disney seasons).