Hey, I think that this is what happens when it runs out of battery completely. I tried following the steps on the Nexus 7 support to fix this issue but didn't have any luck. What I did do was try using a different charging cable, and it started charging. You might not be able to turn it on right away, but I do believe that you should stop seeing the snow.
Mine works now, and charges fine. But if it runs out of battery completely, I run into this problem again and fix it the same way.