Hi Inge.
I am laughing at the image of you putting the safe in your bathroom.
Golly, for folks blessed with so many pearls, they may not all fit in the bathroom!
I am curious about the mist on your pearls. If that is condensation from the air, it would be ok for CFWP, they like clean water. If we know why there is condensation, it would help, but it sounds like it may work.
I would think that any environment with humidity, is fine. Like, living in any humid climate. I live in AZ where it is very dry, especially in the winter with artificial heat (including fieplaces, etc) so the bathroom makes sense for me.
In the summer in Tucson, we have contraptions called "swamp boxes" or "coolers". Someone asked me what these were the last time I mentioned them, so here goes:
They are a large galvanized metal box with water in the bottom and big thick pads of aspen filling the four cutout sides. Then a contraption at the top, called a "spider" sucks water from the bottom and releases it onto the aspen pads, which then get soaked with water. Finally a small motor rotates a large "squirrel cage" which pushes a steady stream of moist air into the house. The moisture laden breeze cools a hot, dry house dramatically. In Tucson, the oldtimers run their swampboxes from April/May through October on average.

(the non-natives, use air conditioning, which natives dislike because it leaves the air ever drier, not to mention the freeon

- isn't today Earth day? bad freeon. Freeon bad, bad!

)
So anyway, with a swamp box, everywhere is ok to store pearls. I like to hang my newly acquired cfwp hanks on the wall where the cooler blows right on them. They really seem to perk up and brighten after a couple of weeks in the cool, damp breeze.
BTW, Hanging pearls strung on silk in the cool damp breeze does not work, the silk stretches.