Once you hunt late season and see the coat on those late season billy's, you won't want to hunt them any other time. It's an awesome time, but in my opinion weather is your biggest enemy with that hunt. I have a pretty decent gear list I can send your way if you're looking for something like that.
As noted above, the guys at The Journal have done their fair share of winter goats and cover some of the things pretty well over all the podcasts they've done since I think 2017 on goat hunts. Toeing the line is a pretty wicked video of a Winter Goat hunt they did. Hope to have the video of our hunt this past year up in the next few monthes, we'll see.