Your distance seems very short. Can you walk instead? How about packing a lunch? Also, with it so cold, you could probably run both ways, making this trip even faster. I bike to work daily, but it's a whopping 3.5 miles each way. If I lived closer, I would actually PREFER to walk. The one day I did it, it took almost an hour, but it was quite enjoyable and I felt very "fit" by the time I got home.
The more fit you get, the less distance this will "feel" like. My max for walking is about two miles one way, but like I said, I tend to get bored with walking, and would start to run if it took too long. Also very good for your internal organs and heart.