AA tune is good for me, I have the stage 2 and a noticeable improvement. I don't have the 3 stage manifold.
You have the BMS powerbox. From what I've read, the throttle mapping on the most sensitive map sounds more sensitive than the throttle mapping changes with the AA tune. Maybe ask other folks who've tried both?
So, if you love the sensitive mapping on the powerbox, maybe you won't want to give it up(?) or maybe you can run the powerbox with the AA tune?