What did you end up going with? Post pics!
If you want to do it 100% in hardware using the tech stack of regular keyboards, you'd need to isolate the switch components from two identical keyboard circuits.
Really simply, you can think of it as two handwires/PCBs, each physically layered one on top of the other, with your choice of DPST switches (one circuit per layer), or using regular SPST keyboard switches with them all linked to the same +5v and acting on the V
in of two transistors (or relay(s)

), providing a separate physical switch circuit for each physical layer.