Sounds good! I'll just say that I'd go with Nord for race. They are the most in-tune with the cold, as reflected by their 50% resistance to frost.
I find battlemages that use Two-Handed to be counter intuitive. I'd figure you'd want to use melee and magic in conjunction with each other, not one at a time.
I would go with using magic in conjunction with one handed weapons (Swords are okay, but BattleMages are often portrayed using maces) I recently just finished a playthrough with a battle mage and it turned out great, I had a blast. Got both 100 One Handed and 100 Destruction My favorite was using incinerate, and a Daedric Mace with the Elemental Fury shout for faster attacks to absolutely destroy my enemies from close and far!