This has happened to me too. Luckily, I don't have to deal with snow, but when we get a cold snap with rain I feel it. Last time I spent an hour trying to empty my dishwasher, but was too tired, confused, sick, to finish, so I went to bed. I felt better in the afternoon when the rain stopped and the temp rose.
I also noticed that if I'm already experiencing sx, like now, because I have a mild cold, and today its cloudy and getting colder, and my sx continue to worsen... PMS+a cold+rain=misery.
Personally, I can't wait for spring and some mild weather.