If your battery was the problem (which it obviously wasn't), then getting a new one would have solved the problem.
I changed the battery for a guy in a 2003 Yukon today. It was PCM regulated and the alternator was freaking out trying to charge a battery that was resting at 2v with the car off. PCM would full-field the alternator until the battery held 14v and then would shut off, causing his voltage to tank.
Your battery isn't the problem. Just seems like you're trying to run too much off your alternator at this point.
Even though your alternator is double what stock is, that's still small. I see lots of stock alternators that can put out over 130 amps.
Adding more batteries, you can make your amp happier. Won't tank voltage as suddenly. Still won't solve the problem of your power supply (alternator in this case) not being able to supply enough constant power for the load.
Eventually, your alternator is going to go out if you're constantly "full-fielding" it. Simple as that.