Riosdad, I kneel in awe at your toleration of the cold.
I'm a wuss and a worrywart about winter riding, anything under 20 F is less than pleasant for me. By the time I get chores done, my fingers and toes are too numb to do much else. I don't have the luxury of a heated barn, either, only the heat that 2 horses, 8 cats, and a dozen chickens put off. We have terrible footing... the arena is a sheet of ice under slick snow. I worry about trail riding with much snow, since we have a major and recurrent groundhog problem, and the holes are hard enough to spot in the summer. Yes, I am a wimp. Yes, I chronically make excuses about riding in the winter. They say the first step to recovery is admitting the problem.
Gloves... My hands are tiny, so I end up buying children's size camo hunting gloves; the ones with the cutoff fingers and the pocket that covers like a mitten and velcro's back out of the way. Anything bigger than kid's sizes are more cumbersome than the cold is. If I need any dexterity at all, I lose the gloves, and when I'm done I stick each hand backward into the opposite cuff to warm them, and then put the gloves back on.
When I took regular lessons, they took place in an indoor arena where footing was not an issue, but they were canceled for anything under 20 F.