RAT is now last minute getaways, and it is not real time by any means (I think it is updated once a day), but I would always check real time.
Be aware that a good amount of hotels in the area have parking fees, its not just a Disney thing.
When I have a car, I tend to stay at a Marriott and get some points since I do not need Magical Express. Usually on S. Apopka Vineland Road - I think its the Delta By Marriott that I often see good rates at.. If I need DME then its all stars