Maybe I'm not understanding something, but wouldn't it be as easy as crudely modifying the PCB?
I am not good at soldering, but just taking short lengths of wire... cutting the trace(s) that goes to each letter, then using these short wires, soldered directly to the PCB, to bridge the gaps accordingly? Seems like it should take about an hour and some care to make sure you go to the right places...
Yes, you'd effectively 'ruin' whatever you did this to, but it seems like a nice way to have a 'travel' keyboard if you use a different layout.
I don't know if you could do this on a membrane or not.