While I agree with Ace, again on the fact we just have a lot of Bats already, even a wannabe Bat in the form of Spoiler/Stephanie Brown, it's still your choice if you want to keep on this idea Fate.  Still, I'd seriously consider leaning towards something else altogether.  Magic is still largely ignored save for Constantine and Raven, so and this isn't me pushing for Zatanna by any means, even if I have the hots for her lol, but I'd go with another sorcerer or some kind of practitioner at least.