Great idea (why didn't I think of it?!).
Turns out that the problem follows the board, so that's conclusive: it's that particular C4S board that is the problem.
I removed the board and tried to unsolder all the parts so I could reinstall them, but I mangled the LEDs and a few of the resistors in the process, and I've now soldered and unsoldered and resoldered the IA, OB, and bB pads that I'd like to start over from scratch. So I just e-mailed Eileen to order a replacement C4S board and components.
Once they arrive and I build and install it, I'll report back. In the meantime, thank you so much for your assistance. When I couldn't figure out what the problem was on my own, I felt helpless.