You guys need to broaden your horizons. A lot of snowboarding companies make some great gloves that allow you to keep dexterity in your hands. They can be pretty spendy (and they aren’t durable when it comes to construction work), but man do they keep your hands warm. I’d recommend a brand called Drop.
My grandpa told me a while back that you can wear bread bags over your socks in the winter. You still get the insulating effects from your socks, and the bag minimizes the cooling effect of sweat evaporating… Your feet probably stink after a day of work though.
-Mike