Actually, distilled water ends up pretty much mineral free
(so wikipedia tells me XD)
So it should be fine for orchids, however I have no idea if it might actually leech out some minerals from the orchids eventually if not supplemented with some fertilizer often enough. It's why it's not considered a good idea to drink too much distilled water.
And moonsful, depending on how hard the water is (and that you mean a paphiopedilum bellatulum), if you are careful to REALLY flush water through when you water it, the minerals might not build upin the media to a toxic point... I think? Just trying to remember stuff I read elsewhere on the Board really hehe.
Hopefully someone more knowlegdable comes by
And yep, sometimes this hobby is hard, but hey, if none of us wanted a bit of challenge, we'd all be on the Peace Lily Board XD