most flash mp3 players fit that description. I know that sony has a really good one for arround 130$ ('walkman bean' i think). and of course theres the shuffle if you'r willing to use itunes and dont want a screen.
its all up to you. and unless you plan on swimming with it. most flash based mp3 players will withstand the dampness that can be caused by snowboarding. and unless you fall on a rock, most flash mp3 players wont break.