I really love the idea of a warrior charging into battle with the powers of destructive magic as his ally. Being brand new to Skyrim, I did some reading on the topic but haven't been able to find the answer to my question: Should I go 1H with a spell at the ready, or 2H and switch to dual-handed magical destruction as needed?
It makes more sense for a battle mage to be one handed. That way you aren't forced to make the decision to give up one of your preferred source of damage in order to use the other. Other than the master level spells, you can cast everything else with 1 hand while swinging a weapon in the other, this makes for great versatility.
Also, you can be more defensive if you choose by equipping a ward spell in one hand while swinging a sword in the other. A good ward spell can stop most things including pesky dragon breaths.