Can't say that I'd recommend the refrigerator for grain storage (crushed or not) because even with Ziplock bags, there's the chance to get humidity, oxygen and neighboring fridge flavors in your grain. When I used to work at Caribou years ago, part of the coffee education we received covered storage of coffee and why not to keep it in the freezer or fridge — it's safe to say the same would apply to grains.
Keep it in a cool, dry, dark place for certain. Squeeze out as much of the air as you can, vacuum seal it if you've got the gear to do so, and then keep it in a small air-tight, opaque container or in an area that won't get any light. If moisture is a concern, maybe take a handful of white rice and put it in a small mesh bag to soak up any moisture from condensation or the like.
But don't put it in the freezer or fridge. It'll be fine at cooler, basement temperatures.