I just can't figure out the puzzle of how to get this thing open. It's
a "Visual Sensations" VS-7i model from KDS.

Their website didn't help. How do I even go about asking for help on
this group, since you can't see the monitor? Anyways, I'm hoping
somebody might offfer some clue, or tell me how to give more info in
order to get back some clue.

The underlying problem is that the monitor just goes black sometimes.
There occurs much more often a small disturbance on the screen, like a
sudden, narrow horizontal glitch that lasts a moment.

The likely source of the problem is the power switch. It is misaligned
in it's round hole (the corner of the case had been propped on some old
bills, and over a long period of time that apparently had made
something shift inside). When the screen goes entirely black, I have so
far (knock on wood) been able to bring it back by repeatedly working
the switch.