How would you remove broken bridge pins from an acoustic without the main soundhole?
I think if you take a small drill bit, and drill into the pin, then take a small screw, and screw it into the hole you just made, you could pull it out using the screw as your grip
If the knob on top has gone, then use a drill bit slightly smaller than the end taper of the pin - use another pin as a guide. Drill slowly, perpendicular to the bridge, and most of the pin will disappear. Use a slightly larger diameter bit to take out most of what's left. The remains will then be easy to dig out gently with a small screwdriver. Do not use a bit any larger than the original hole size - measured by inserting a bit into another bridge pin hole.