If you hate ice, stay with camber, e.g burton process or custom. Good reliable boards.
If you hate ice to the point that you stay off the hill, then you could get a Flying V board, again either custom or process are good choices. Or for more fun, playful riding antler is good. Or if you don't mind ice and want to prioritize fun then the same applies, just know that edge hold is reduced for non camber burton boards.
If you hate ice but want to slay it and win the battle vs the evil ice, the burton custom X has best edge hold but it's a stiff board for charging.
If you want to have fun spinning around and so forth, the Nug is lots of fun.
Do some demos if at all possible.