At first I did not realise your machine was especially for cutting and drilling PCB - I mistakenly thought it was a CNC mill - sorry.
But I made an idea for you to look at that is PCB and because you can not do plated holes, I made it one-sided.
(It would be a little smaller otherwise)
This is a little H-bridge motor controller designed to be run from a 5 V supply, either with logic (74hcttl recommended) or with an op-amp (lm2900 is extra good).
Here is the schematic:
Here is the board:
(maybe you can improve it.)
This is what I use to run little servo motors, which is the cheapest way to get a motor with gear-train that I know.
I remove the potentiometer and the circuitry so it will rotate fully and substitute one of these. It fits inside.
Here is a servo I used for a project that has the board inside it:
I use these a lot in many different projects. I have sold many hundreds of them - until finally I sold the IP to another business that sells them to this day.
Some of my highly skilled and quite competent laborers were stuffing these boards:
I tried to pick something small and cheap but generally useful. If you like it, let me know what kind of files you want for the job.