A few years ago, I got similar injury in the shoulder. Not when snowboarding, but waterskiing !
It took me about 1 year to completely recover the sensitivity.
2-3 first month it was painful to lift my arm over the shoulder. 6 month later, the pain was no more troublesome, but I lost sensitivity and strength in arm and hand. Sometimes I had itch in the arm / hand. Thereafteer, all this troubles disappears progressively.