Have you tried merino wool apparel for either teaching or your own workouts?
I love my wool socks and I would certainly wear it skiing and doing things like that. I haven’t gone in a while but I wore wool pretty frequently for snow activities and yard work type things. I’d probably wear it biking and running in addition to the socks I already wear but the price is a bit much for me and I have tons of fleece. Wool has come a long way though, not as itchy and it holds a pretty even temp even when it’s wet.