Snow doesn't disprove climate change. Au contraire:
The problem is that more severe winter weather tends to confirm rather than contradict climate change theory. Warmer overall temperatures produce moisture, which in winter tends to produce snow. Climate scientists have long predicted more turbulent winter weather as a result of climate change. And by the way, last month was the world's warmest January on record.
This won't keep conservatives from taking cheap shots at anyone who wants to deal with climate change, but it's worth knowing that this particular attack line is particularly cynical and wrong-minded.