Actually a refrigerator can be quite damp, too damp for batteries. However, placing them in a sealed container (ie a reclosable bag of some sort) will protect them from any moisture/dryness they might be exposed to. It will also prevent condensation from forming on the batteries when they are removed--and it is best to let them warm up to room temperature before using them.
Considering that most batteries are sealed cells, I'm not sure why excessive dryness would cause them to "dry out"...in fact, exposure to dryness might be better, as it prevents corrosion.
The one thing you might not want to do is store them in the freezer because of the possibility of freezing the electrolyte. Not likely, but possible.
And to keep things in perspective, if you go through your stash of alkaline batteries within a few months of purchasing them, storage at anything colder than room temperature is almost a moot point anyway. So a cool, dark (no direct sunlight exposure) location such as a desk drawer would be perfect unless you're storing up a ton of them for a few years. I personally keep mine in a nice shoebox in the corner of my bedroom. /ubbthreads/images/graemlins/smile.gif