Having done this exact search myself, I offer to you herzogbr.net’s “Reference Question of the Week” for this week, which is to find actual snowfall amounts on two recent dates for one location. If someone asks you this question, or you want to know yourself, and the dates fall within the last month, reading his report might save you several hours of hunting down the data. (Bottom line: Go to accuweather, type in your zip or city, and near the bottom of the resulting page click “Past Weather – Past Month.” You’ll see a chart for the current month, and you can also “select a new month” to see data for the previous month. Any data further back in time will cost you.)
Also potentially useful is the National Climatic Data Center’s text listings of snowfalls (amount of snow that fell that day/night) and snowdepths (amount of snow laying on the ground) for every county in the U.S., and for multiple towns in many counties, listed by month of the year for the past 2.5 years. The snowfall listing files are dlysnfl.txt files; the snowdepth listings are dlysndpth.txt files
Have I mentioned that we have had a lot of snow this year?