Designing and building this tiny violin was a fun way to experiment with building my own microcontroller development board from scratch, as I've been meaning to do for a while. So I'll be documenting the whole process here, from PCB design to programming the microcontroller.
Just an idea: Instead of continuous traces, provide a line of vias with bare copper around each on the front of the PCB. On the back, connect the vias via SMT resistors. One end of each "string" goes to Vcc, the other to an analog pin. Then play by touching a grounded wire to the front and read the resulting voltage via A2D.