ackbar lead is effective and fun, but the secret is to use fewer rebels actually. AA is heavily RNG-dependent, and certainly not as good as CLS lead, so in order to work you need to mess with the opponent's plans.
Try using ackbar with just ONE other rebel (DPS), and two at most. I think the two best individuals are raid Han and PL, but CLS and Ezra also make fine additions. Run one non-rebel tank and one non-rebel support with two non-attack specials. The idea is to maximize the amount of time a high DPS rebel is called to assist. CW chewbacca is actually great in this role, a taunt and self-heal keep him and your team alive, and calls an AA-leadership assist twice. Thrawn is also great, two non-attack specials calls two AA-leadership assists, and brings a TON of control. Datcha is decent as a self-healing taunter, and RG is decent with stun, auto-taunt, and defense-up. ShT and GK can also work.
Of course, this leaves a fifth spot. Dealers choice. I actually like to run a second DPS rebel in this spot. I typically run PL and Ezra... Ezra's assist special doesn't count as an attack, so you can potentially call PL for a triple-tap, AA calls Leia to triple-tap, and Ezra double-taps... eight attacks from one move! That'll bring down the house!
If you have any of those characters at high levels, give it a try and let us know how it turns out. However, I think you'll find the sad truth is that they're just not as arena-friendly as CLS.
AA, however, DOES make a great TW defensive trap team