Yes the 2nd battery would be way more help then a cap due to how a cap works. The cap can act as a load on you alt as well as the amp it self. The caps actually discharge completely and require to be be recharged. When playing a music daily, your alt is forced to feed the cap as well as the amp at the same time so its more strain on your electrical system. VS a battery can help you voltage remain more stable as it takes less effort to charge a battery because it doesnt have to completely disscharge it self. so in other words when a cap fully disscharges your alt has to "Fully recharge" it and a battery maintains it charge and its less stress. You may not dim with the cap but it can cause other problems like make your ALT over work it self trying to keep up with the amp & cap, and the battery will keep its charge because its not going to go completely dead with the car vehicle running.
The big 3 is a electrical wiring up grade. Its really just upgrading your alternators main charging wire to a bigger gauge than the stock probably 8-10 gauge that it comes with, and the upgrading the factory ground to cars body and another to the engine it self. it helps to complete the circut in your electrical system and it will be able to deliver more current.
Big 3:
1. Upgrade Alt charging wire that runs to the battery under hood to a bigger gauge wire
2. Upgrade the stock ground from the negitive battery post to body with a bigger gauge wire
3. Add a 2nd ground from the negitive battery post to the engine block(
I google big 3 kits and there are a ton of different packages ranging from $50-$120. Now, off what I have, would I need the $120 package or would a $50 be sufficient? I know my system isnt huge but I know its not a little one either.