You could go to Disney's website and try to get a quote for your particular cruise. If your date is not an option, then it's full. I have done that for our cruise (we are one week after you!), and there are still cat. 5, 10, & 11 available, so we are not full yet. I like to check and see how much we saved by booking early, about $1000!
GET UP TO A $1000 SHIPBOARD CREDIT AND AN EXCLUSIVE GIFT!
If you make your Disney Cruise Line reservation with Dreams Unlimited Travel you’ll receive these incredible shipboard credits to spend on your cruise!