So you think that the current draw from the system is constant? You also think that the alt can increase output instantaeously in response to a change in demand? You think that the battery only provides current when the voltage drops below 12.6V? You think that they make an alt big enough to supply the current demands of a large system play dynamic music at very high volume?
Man it must be nice in your little dream world.
AVERAGE current draw. That's all the alt needs to provide. Transients will be handled by the battery(ies) every time regardless of how big the alt is because the regulator simply cannot react fast enough to up the current supply. If you use a bank of batteries, none of them ever gets deeply discharged and you're really just replacing the skin charge instead of the core charge. The bigger the battery bank the more current you can draw before the voltage begins to sag.
For that amp, two good batteries should be plenty. Your wiring is going to be very important also. Upgrading the alt isn't going to really do anything and you'll still need the batteries. The place for an upgraded alt is playing long tones. that actully creates a large average current draw where the alt can get caught up and actually directly provied current to the equation. Otherwise the alt is only refilling the reserve between periods of transient demand.