We booked through CAA on the 4/3 deal but also got 10% off through CAA. I don't think it is something that Disney will promote, it comes through the travel agency for their members. Just call AAA and ask what kind of Disney deals they have.
You can get AAA rates on a room only through CRO. You have to go through a AAA if you want a package. When you call Disney just ask if a AAA rate is available. You have to ask though, they won't volunteer the information.
You can get between a 10 and 20 percent discount on the resort cost with a AAA card. This depends on the resort category and the time of year. There are only a certain number of rooms at each resort available for this discount, so it is possible that at any particular time, the discounts are all gone. You can find out the rate by calling disney and asking for the AAA rate for your resort. If you want a room only reservation, you can make it right with disney. For a package you need to use a AAA travel agent. You can't get the AAA discount via the disney web site.