I guess I must be lucky with Ella, my snow loving Basenji. I live in Colorado at over 8000 feet and we also have snow on the ground about 6 months a year. Obviously, there are some cold weather limitations on Basenjis. Deep snow can be a problem. She happily wears a coat during the winter but she still gets cold when the temperature gets much below 20 degrees, but as long as the sun is shining even that is OK. We have a lot of snow here, but bitterly cold days are pretty rare. So on the days when the temps are single digit or below zero, her walks are short. But on a typical winter days with packed snow on the ground everywhere and temps in the 20s or 30s, she is fine. She does better in those conditions than she does in extreme heat. She loves to play and run in the snow and we cross country ski together all the time (that took a little practice).
It so happens that I also love the winter and am happy to be outside on just about any winter day. Either I am really lucky with Ella, or your dog will pick up on your attitude to being outside. If you want to be outside, I think most dogs will want to be outside with you. If you are apprehensive and miserable, they will pick up on it. I say get a warm coat for your B and warm clothes for yourself and just go for it (of course paying attention if your B is suffering in the cold or deep snow). Ella's first winter and the first snow day of each new winter she is a little apprehensive about the change of season. Just becasue they hesitate or hang up for a few minutes does not mean they will not eventually love it. Ella is famous for that. So I would not rule out having somewhat normal outside exercise in the winter, as long as you are committed to it too. My biggest problem exercising Ella in the winter are the short days.