Another option might be at Marriott's Royal Palms MVCI property. It is located in the Marriott Worldcenter complex right next to Disney. Short of being on actual Disney property, this is about as close as you can get.

The Royal Palms is currently showing 2-bedroom/2 bath availability for the 4 nights you want at $244/night. If you have never stayed at a Marriott MVCI property, they are very nice, big and have lots of amenities themselves. Plus you would have full use of the Worldcenter Marriott's facilities (very big and nice pool, play areas, kids activities, shuttles to/from Disney, etc.) Each suite will have its own full kitchen and washer/dryer.

In one of these suites, you and the husband get the King bedroom with a big jaccuzi in it (very nice to relax in one after long day at the parks) and the kids get their own bedroom.