I called Disney yesterday and booked a trip saying I was a AAA member and gave them my number. The Disney Rep then took my number down and gave me the AAA rate (the same rate I got when I called AAA seperately). In short, I was able to get the AAA rate without a AAA rep.
And to give you an idea of what kind of discount there is, regular rate was $77 for Values and I got $68 with AAA.