Thanks for the help. I ended up unscrewing the screws from the side of the frame, but only two at a time, so I don't think I've messed with the rigidity of the frame... (I didn't remove any panels!).
I'll post pictures of it when i'm done, but basically I created a barral hinge and mounted the hinge to the frame by buying 20mm M3 screws (manually tightened the screws as to not over tighten). I connected via the upper two screws for one hinge and the lower two screws for the lower hinge. So far it's working out well.
I made the door with 1/2" acrylic, which I realized afterwards was overkill, but it looks really nice. I mounted the hinges in a way that the acrylic closes flush with the front panel.
Next step is the upper enclosure (1/4" acrylic for this one...)