Yea, guess I'm a little old school when it comes to this stuff. But there are a few newer Amplifiers that pride themselves in the old school Driver Control ways, but they are very few and far between.
To the op, my old team use to have what they called an LMS to specifically tune out their enclosures. I don't know much about it, just another old school way of doing things I guess. I'm thinking that if you increase battery power you might can help out your Amplifier(s) with this. ... Or specifically tune your enclosure for exclusive sound quality or sound pressure levels. Trying to accomplish both is sort of give and take it seems.
Good luck my brother.