Did you check resort availability through Disney's website or the front desk? Even when a resort is full, there are usually rooms available. A few years ago I was at Disney with my mom. She was supposed to transfer from Coronado to one of the AllStars midtrip because when she booked, she couldn't get her full trip at one resort because they were full. Well during the trip, her diverticulitis acted up, and I wasn't thrilled about her being away from me when she didn't feel well. I went to the front desk and explained the situation. The manager was able to get her a room in the same building we were in and on the same floor. I just wanted the same resort - so moving down the hall was awesome (especially if you know how big Coronado Springs is!) So my point is - if you do decide to stay - talk to the front desk. They may be able to help you get a room when the website is showing booked.
Also - If you need to get to a doctor down there, the front desk can help you with that, too. Centracare will come pick you up at the resort and return you afterwards.