The musical instrument business is too small to be a decent target for your career goals. However, here's what I suggest. Learn the general knowledge and skills that you can apply to music, but that make you versatile enough to broaden your horizons. Of course there's CAD, but everybody learns CAD.
*cough* SoildWorks *cough*
Structural analysis (static and vibrations), materials, acoustics, etc. In electronics, I would study analog, DSP, embedded systems, and switchmode design.
AFAIK there are still jobs for good analog jocks.
Decide how much time you want to spend in China. A friend of mine was a laid off mechanical designer, and there were lots of places that offered him a job if he would spend about half of his time in China, doing what he calls "conflict engineering," i.e., troubleshooting problems at the plants where parts are made. The companies he applied at were mainly in consumer products.
