Being a electronic/computer engineer... I would check into that CNC mill a little more.
All the manual entry systems I have seen, had a serial port you could access..
If so you can create the code for the specific system you have using a CAM package.
Then transfer the CNC code directly to, or through a laptop...
For doing multiple lowers in one session, it' the only way to go....
Here is a photo of my little CNC mill doing it's job on one of my lowers.....