Personally, I think Disney would be a perfect fit for you. They really know how to go out of the way to make all the children feel special. While we've always found all the children's programs on all the ships to be very good, we've just found Disney to provide a wonderful experience for children with special needs. Plus, they have the adult-only pool, an adult-only nightclub, and of course on their absolutely wonderful private island, there is their adult-only beach.
Of course, since you've already cruised Disney, I'm probably not telling you anything that you don't already know.
If you're looking for something less expensive, then you might want to consider either of the two Oasis-class ships in the RCCL fleet. They have a great children's program.
I'm sure others will provide additional information for you, but I know you'll have a wonderful experience.