My nose runs so much everytime I exercise in sub-15Celcius weather that if I actually used kleenex my nose would have been rubbed off a while ago. It's just not an option.

I have to spit and snot rocket a lot. Sometimes it's not possible (very watery) and I will gently sponge off my nose with the terry part of my gloves.

I usually also swipe a lot of vaseline under my nose if it's a really cold day (around 5 Celcius or less).

Sorry, it's not elegant, but it's standard in the sport. Running is the same. Coss country skiing is the same.