Lots of people riding icy mountains are on Mervin and Neversummer. They both have very good grip on ice. Which one is better? That depends on who you ask. I could tell you what I prefer, but that wouldn't do you any good. So...
Boards I recommend are: NS Lotus-R, Gnu B-Pro, CAPiTA Midnight, K2 EcoPop, Nitro T1 womens, Arbor Push, Salomon Ivy, Ride Canvas
Bindings I like: Union Milans, Ride DVA, K2 Auto Agogo, Salomon Stella
Boots you'll just have to try on everything and anything you can find. Noone can tell you how your foot is going to fit in a boot. Choose whatever is most comfortable. Then make sure to bring your boots with you when you shop for bindings, make sure they fit well.