The A630 shouldn't effect the analogue audio stage in any way. It only effects the data and address bus, plus various CPU control lines.
Also I've got one in my A600 and it runs fine.
I've repaired a few A600 with low/distorted audio faults caused by leaking electrolytic capacitors. The 22µF ones are particularly bad.
Look for dark staining or discolouration on the soldered legs of the SMD capacitors (the silver aluminium ones).
Leaking capacitors have a very strong fish odour when you heat the terminals to desolder them.
Failing that the audio stage is fairly simple, just a few op-amps, which are easy to fault find.
Check the -12V supply is present, as the op-amps use this as one side of their dual rail supply.
Schematics here if you need them:
http://amiga.serveftp.netLet me know if you need more info.