Just wanted to update in case someone searches for this in the future...
Had some time to undo all the screws and take out the board today. While nothing looked to be broken, I did end up getting half of the Tap Tempo LED and the missing color on half of switch 11 working while probing with a sharp chopstick. I didn't really want to risk trying to heat those tiny solder points, and they really are head of a pin tiny, so I left it at that and reassembled.
Tapped the switch with more force that I ever would in the real world for about 10 minutes and everything remained working, so, while not fully restored, I'm happy with the result of a visual tempo indicator...