Yes, it can be done. We just did it on the 9/27 Wonder. Of course the resort was empty due to the hurricane but we were able to rent a room for $150 for the day. They actually give you a room in the old building but it was clean and adequate but very far from the pools, etc.
I was not that thrilled with the resort and wrote about it in my trip report. Others have enjoyed it. $150 is a great rate considering a room at the Comfort Suites costs more than that with taxes, etc.
Your kids are beautiful!