From the burton line consider custom flying V, sherlock, or Antler. Flying V shape isn't great on ice but you've got that covered with your salomon.
I'm from ontario where we've got four conditions, fast grass, slow granite, ice, even snow sometimes. I ride camber when the snow is hard/icy and ride a flying V on softer days. Trips out west where there's less or no ice also good for flying V.