That's the best part, you'll have white out blizzards in game very rarely, but snow most often in winter. It'd be cool to have a "survival" element to it all, where you can't be out in the cold too long or you white out, and only Ice types can Fly in bad weather. But this would only work if the region was detailed and huge.
Actually, blizzards aren't as constant as you'd think. We have a few, but last winter was pretty light and we didn't have any major snowstorms, just a minor one and that was it. Besides, snow occurs in the middle of hockey season; we know it's time for hockey when it gets cold.