you have the first generation sound board with one fuse and a few design mistakes that got fixed with the red wires. Please download and review the flash manual if you dont have one. Check around page 21. Otherwise you may be spinning your wheels just doing stuff. It looks like you need to solder together p39 and p40 of the pia at the least.... can't say thats the only issue tho as that usually only makes the sound board not respond to the cpu/drive stimulation but the NMI button produces sound.
The ceramic package CPUs have better temperature ranges... I think that is it. They are long obsolete still can and do fail. Specially if zapped by over 5v or negative voltage. I was told by someone at Rochester Electronics they where going to spin up more 6800 series stuff (be they would be crazy expensive). Not sure if that is true...
The red wires on the back of the board.... looks like it could be impaled by a lead and shorted out. Seen that happen.
Break the sound board into three sections.
The power supply. +12v, -12v, +5v all must be good.
The computer. Is the CPU running? Check the E pin for 0.85mhz clock. Put a logic probe on the PIA ports that service the digital to analogue converter. Push the diag button and monitor. Does the PIA start doing work when sound plays??? If so the computer is problem running.
The sound amplifier. If the computer is running but no sound you probably have an analogue failure. You can send some noise through the amps to see if they are working.
If you wan to just take the easy way out. You can buy an entire new replacement from http://nvram.weebly.com. The trace routing errors are all fixed and they generally produce cleaner / better sound than the worn out originals do.