I've been offline (Caribbean cruise) for the past week. SnowFALL data is somewhat hard to come by. The only people interested in it are skiers and avalanche forecasters. Typical government sources will usually just track water content, which is what they want for hydrology, water supply forecasting, etc. Water content can also be measured remotely by weighing the snowpack, then radioing the results. Snowfall must be measured daily in person, which precludes measurements in remote/inaccessible locations. For example I've never found daily measurements in heliski terrain.
The Ski Club of Great Britain data (weekly base depths) is the best I've found for the Alps, but I haven't looked that hard, given cost and language barriers. Anyone who can get me historical monthly snowfall data from the Alps I would greatly appreciate it.
My website http://bestsnow.net
summarizes North America snowfall data with averages, standard deviations, statistical adjustments to put every area on a November 1 to April 30 consistent basis. I charge a modest $15 fee for the raw data http://bestsnow.net/advtsnet.htm
for personal use.