In the winter, I think one of the nicest forms of white noise is a fire. It’s not the same as having an actual fire, but if you have a computer or big screen you can Chromecast this to, I recommend this video:
I’ve watched quite a number of these videos, and this one is my favorite so far: really good sound, and it looks realistic. (Oddly, this matters to me, even though I know it merely a video).
If you want the feeling of being warm and cozy inside while it storms outside, I recommend this video for white noise: