Story of my life. Write a novel and leave out the most important part.
Remember a capacitor does not pass DC. So putting it inline with power or ground would stop the amp from working.
Instead, you put it across the power line as close to the amp as practical. You hook the positive lead of the capacitor to the hot wire, and the negative to the ground wire. Don't cut any wires, just strip them back and solder the capacitor leads across the wires.
In this case, I would not solder them at first. Just wrap them around the power leads a couple of times until you see if it works. You may have to try a couple of different capacitors.
One thing to know, capacitors are strange when you hook up more than one. If you hook two or more in series, the values divide instead of adding.
You have to hook them in parallel to get more capacitance.
In other words, if you hook two 1000mf capacitors end to end across the power line, you will be only hooking 500mf up. If you hook them both across the lines it will equal 2000mf.
As for the size, I pretty much pulled it out of the air.
Given the frequency of the noise we are trying to get rid of its reasonable. Plus its cheap.
You could bump it up to 6800mf for not too much more money.
https://www.alliedelec.com/rs-pro-7111539/70648293/
Capacitors of these sizes are acting as filters, but a boost capacitor might work better.
You can find them here:
http://www.techronics.com/Capacitors/1-2-Farad-Capacitors.html
Here is how they work. Big amps, say 2000 watts have to deliver massive amounts of current very fast, which means they have to be supplied with those currents at audio rates. So, you use big cable. I have seen amps with 2 gauge wire, while the starter on the same truck has 4!
While the 2 gauge will handle the current continuously with no problem, there is a problem. all conductors have resistance. The heavier the cable, the less the resistance. But conductors have something else. Inductance.
Not going into what that is, but it resists sudden changes in current. The faster the change, the more it resists.
So, even the massive cables cannot supply the current the amp needs as fast as it needs it.
The massive capacitors I linked to above act as super fast acting batteries. You mount them across the power line close to the amp. They charge up to the input voltage. When the amp calls for a sudden surge, it supplies it until the power line catches up.
Check in your area for an automotive sound shop. With any luck they will have some used big caps that they would let you try before you buy.
If you can't find any, I would try the cheap small ones first. I wish you were closer. I've got a few hundred caps of the smaller size laying around we could hook up and try real quick.