My AAA TA said they do stack the AAA discount with FD or RO discount. Only b/c AAA controls their discount. Seems like the $200 off is pretty standard. If FD comes out (or a % off room discount) they will add this discount too. But you need to watch as well and call if you see a discount that can be applied.
This is our first time going with AAA TA but so far, she has been very responsive and good. Hopefully it will be fine. I am very type A and controlling of our reservation so it took a lot for me to let go and trust her. I think it depends on each TA though. She also said, if for some reason she is not there and a discount comes out, any of the AAA TA's can call and change/apply the discount. They are open evenings, weekends too. That made me feel better. Good luck!