As an amateur EE, here my thoughts. If you can do CAD you can probably also design a PCB with a socket for some kind of general purpose MCU or even one of ready-made keyboard controllers. Through-hole soldering is IMO actually simpler than making these "spiders" (that's how in my country we call circuits with self-supported wire to wire joints, usually with at least some components hanging in air by their leads). "Sp…
Ultimately it's probably better to have a triple-layer for the keyboard from what I can see. The faceplate that the switches are mounted on, the PCB and then the back plate. Could probably sandwich it all together easily.
There's nothing wrong with dead bug though but on this scale and reliability requirements and mechanical stress, it's the wrong solution for the problem.