Update: I found the issue! It appears that the bus IC +vcc rail goes to IC1, 2, 4, and 5, then branches from the leg of C14 and splits off down to IC3 and 6, and up to IC7, 8, 9, and 10. I had to suck out the master faders to see where all the tracks were going, which revealed that the pad for the leg of C14 had cracked and peeled away from the board. So I repaired the pad and hey presto, it's all come back to life.
Thanks all for your help!