I don't think it matters if the 360 burns through AA batteries or not, the point is it's an extra consumable item unless you want to pay extra for a battery pack and charger, whereas the Dual Shock 3 already utilises an integrated battery, it's one less thing to worry about. Not to mention there's no online subscription needed besides the Netflix sub, and the fact that Super HD is available on the Playstation already whereas the 360 is still waiting for that functionality.
My money would go on the PS3, I'd pick up a cheap second hand Slim which does everything the OP asked for.