Guess I’m one of the only ones that go no gloves. Whenever I wear gloves I have less connection to the trail and this makes me stiffen up and not ride as comfortable. I also tend to grab the bars not as tight with just my bare hand. The only time I wear gloves s in the winter.
Regular bike helmet. I use one of those low profile beanies that fit underneath my helmet to keep my head warm. The snowboard helmet is a great idea though just a lot more expensive than a beanie.