CoreXY Style CNC cut Printer

I wanted to design a 3d printer using the tools I had which didn’t include a functioning 3d printer. I did have a twoup printer but I didn't have any success with print so I decided to reuse the mechanical and electronics and I have a cnc router. So almost everything can be cut on a cnc with common materials and for under $150 not including the salvaged parts.

The box frame is made of 1/2″ MDF. I’ve been told MDF isn’t a good material for the frame because wood can expand or contract but it d