That looks fantastic. I often wear a ballcap under a hood for glare in the sun or to keep my glasses dry. A bill combined with a power stretch beanie would be a great combination.
I have this in my pack for cold rain or snow protection. It's a waterproof PU coated ripstop with a fuzzy inside and a bit of synthetic puffy insulation. It's full weather protection for the head in cold weather, but too hot to wear hiking for very long. I prefer the breathability of Power Stretch beanies for sure

Even Power Stretch beanies can overheat pretty quickly. I just got one of the Patagonia Capilene 4 beanies. This thing provides no weather protection (wind, rain, snow), but on dry cold days (or under a shell hood), I think it will be fantastic. Even when I've got a hoodie, this would be just a little something in place when I flip the hood down. Or extremely breathable warmth, when I'm sweatin'. I think this will go alongside power stretch beanies as every day winter wear. They make a balaclava of the same material, but it appears to have sold out quickly.
