And...?

I am completely baffled how you could give up so quickly, in light of the work you already performed. So what if pads were ripped off? Pads come off. It's not a problem. I know because I've pulled them off my board even while taking great care NOT to do so.

You can clearly see to what locations those pads (and traces) lead to on your logic board. So run a couple wires from their origins to both sides of your cap and you're done. What wire? Any wire! It doesn't really matter at these voltages and current.

It really is that simple! Two pieces of wire and four soldered points and you're audio is back in business!