Yellow,
I don't think the fridge is a good idea at all. I'm not sure what the power save feature does, but it doesn't keep cold air inside from drying out cigars. That's just the way it is. I just checked, and my veggie bin is currently at 38% (way below anthing recommended).
In this "emergency", you're better off with a large ziplock bag or small tupperware, with a small dish of wet salt to produce 75% RH. (Yes, too high, but better than the fridge.)
Long term solution: follow the advice above regarding 50/50, sponge, tupperware, etc.