@ipreferpie, after looking at Sangdrax's post, I took a closer look at your PCB.. Seems like a realistic proposition since the traces are routed much more cleanly than on my 3277. I was able to map the matrix out pretty easily.
I still plan to continue with my efforts as I wish to avoid a potentially destructive solution.
Yellow lines are the columns, and the row pads I wrote out in alternation red/green. It's neat that the column pads are instead on the top side of the PCB with these early beam springs.