You're looking at this from the wrong perspective.
AH is a measure of storage, not burst or constant electrical discharge.
A 50AH battery or a 350AH battery with the same voltage and discharge ratings will do the same thing; only one will do it for a lot longer period.
What you need is something that is going to provide a bit of extra constant voltage(marginal with your setup) and take care of bursts (virtually instaneouse) where bass notes are going to hit and require a bit more than your stock alternator is going to provide - somthing only lithium or a super or ultra capcitor can do, AGMs not so much.
I have a different take on this and usually consider an HO Alt as a last or absolute need, not the first thing, as some would do.
Alternator upgrades are just as costly, more so if you don;t do it yourself and they can be more complicated than one realizes given the modern electical setups in many cars in the last 10 years.
Modern lithium solutions that offer both those attributes without overly taxing a stock alternator, I see no need to upgrade your alternator unless you're pulling an awful lot of current in excess of the electrical capcity, thereby taxing the alt.
I've run a GloweVoltage with as little as 2500 watts and as much as 5000-watt systems, on a 110A stock alternator.
You're on the right path, but here is a solution that will more than handle your setup all day long and then some.
First, watch this video, get an idea of what you're actually going to pull, even in heavy volume listening, I'd say it's unlikely you'll ever pull more than 60-70 amps consistently or anything over 100a burst, not while you're actually sitting in the car.
And in the almost impossible event that you get anywhere near a 200A burst, this will still cover all the bases.
Get the big three.
Get the largest lead acid or AGM (same thing, and you'll get more for your immediate $$ spent) on a good ol lead acid you can fit under the hood.
Run parallel OFC 1/0 +/- cable to the front and auxiliary battery.
Run a parallel ground close to the rear battery.
Don't bother with an LA in the rear, you want something that charges at the same rate, yes, but something that will provide faster burst, that would be a Lithium solution.
Any of these will do the trick.
Right now, there is but one battery that you should get, and this is it.
Energy Wh – 230. Length – 7.4 in. Never used.
Read the fine print, these are $600 batteries for $350.00 becuase they goofed up when marking the polarity. This means you are looking at a steal of a deal, just remember to put large thin black and red plastic washers on each terminal, or however you want to re-mark the +/- terminals correctly, just make sure to do it!
I'm not even going to suggest anything else, as this is hands down the very best, lowest cost (comparatively) lithium Titanate solution out there right now.
It has all the +/- distribution built in, and it will support systems with 2-3 times the power you're going to use. Seriously, it's a no-brainer.
Hell, I have no need but may get one to have around, just in case!
Here is the wiring for that setup.
View attachment 71850
Amp or Amps, the distro is built in on these XS powerTitan 8s,
Again, it's a no brainer
AND THAT IS THE LAST ONE HE HAS SO JUMP ON IT!