The problem with putting ooths in the fridge is that they need to be put in soon after laid and are dried naturally for best success; otherwise, the eggs start to develop and all the fridge will do is kill the ooth eggs. I've put many of my pet's ooths, and wild collected ooths, in the fridge with a high hatch rate (the few duds were likely unfertilized ooths as they were the wild collected ones).
I keep my insect mini fridge set to 37F and leave them in there for a minimum of 2 months, it has been said they will keep 4 months longer in the fridge than in the wild, so that means you can leave them in there for about 10 months before the hatch rate takes a large nosedive.
I put each ooth in it's own 2oz container with lid (the little condiment/souffle cups) and poke one hole in the middle of the lid for air exchange with a needle. I then label the cups with the species, date laid, and the date they are placed in the fridge. I usually stack the cups 5 high as they fit nicely in the bottom of my fridge, and the hole appears covered but isn't truly. My fridge also houses carrots, lettuce, and other goodies for my various pets in there, so there is always humidity from the veggies in the refrigerator and prevents the ooths from drying out (and makes adding water needless).
If you think you have to add water (most keepers don't, myself included) add a single drop of water to the container itself (Orin's method, from memory though as I can't find the post). You do not want to mist the container or ooth as it will cause mold/fungus/bacterial growth and in time can soften the ooth itself ruining the eggs inside. With the single drop of water let it sit in the container refrigerated for 24hours - if the drop is evaporated add another drop, or if it is still there remove it with a tissue (humidity is too high). Then repeat. If you see mold growth rub with a damp towel very gently to remove the mold, if necessary add a drop of bleach to a cup of water and use that.
For me personally I find letting things happen naturally is better than trying to add water as it tends to cause mold. One method that will help with the humidity though is to simply place a small bowl of water on the fridge shelf. The water will slowly evaporate and because the ooths container lid has a hole, the humidity will reach the ooth. Again though, if the humidity becomes too high it can lead to mold.
Here's
a interesting article I did find on the diapause process itself.