Not necessarily the exact solution you're looking for, but if you buy into AKV, most 2 BR (except value rooms in the converted section I think) will sleep up to nine since it has an additional chair that converts into a single bed in the living room, similar to the couch being a pull out that sleeps two. One of these rooms would be your solution now, but if you will always have the numbers you mention (total of 10 if I understood it right) then it will not always be a solution because one day the one who is under 3 will get older than that (I've always been great at overstating the obvious). In this case, AS FAR AS I KNOW, you would either have to opt for a grand villa or go with maybe two one-bedroom units (again, most sleep five in AKV) or some similar arrangement.
Of course, whereever you buy you can book AKV, but you probably have a better chance at getting your wanted room types and dates at the 11 month window since AKV would be your home resort.