At last I succeeded in getting a replacement monitor 1084S-D2! I even got two!
I now have put the inner works of one of them in the black case. And it works like a charm.
I also moved the hinged front panel door after spraying it black.
I have a complete setup of an Amiga CDTV with keyboard, diskdrive, mouse and monitor, all in black color. When I switched the set and monitor on to test the newly acquired keyboard I heard a big bang. And there was no picture on the display. I fear it has some part blown up so I opened her up and I found the reason of the big bang:
An electrolytic capacitor has exploded.
As this monitor didn't produce a nice picture I will try to swap the inner parts with a beige monitor of (almost) the same type.
To be continued.