Screws and Spacers

[belfastraven]

As to your opening :  May I suggest you consider using a sliding door rather than a hinged door  ?   just a thought.
or even an overlapping flat cover with 4 screws attaching it at the corners.

The intent would be to not have anything coming through the back of the case.  HInge would be super-glued to botom of case, as would fastener.  Slider could work if a track could be developed.  If I am able to but a case bottom or two,  I can try various options...