"Oh, and don't cut any holes in the original casing. But make it look nice."
Lessons learned:
FS 36307 does seem to be a perfect match for original Atari ST gray (I picked up this knowledge from a thread at Atari Age and hunted down a source for the color locally). However, most cases are quite yellowed - so compare with the tiny non-yellowed patch of the original part, or the top housing which is almost not yellowed at all. Also, I should probably invest in an airbrush to get an even paint layer.
Oh, and yes, a 3D printer does make it possible to keep the original housings intact in some cases
