Welp, I probed the pins of the amplifier IC's with an oscilloscope, then poked around with a capacitively coupled signal generator. I was able to get an amplified tone out of one of the channels, but then accidentally shorted two pins and it appears I have taken out the entire amp...
I've ordered a cheap class D amplifier board from china, have gutted the original electronics out of the stereo unit, and will hack the class D amp (with a line-in jack) into the stereo unit when it arrives.