Heh, I'm more a Marvel fanboy, though I also like DC, just yet to find a book that isn't around 50 issues in that I can jump into smoothly ^^
I am considering picking up some TPBs of Red Hood and the Outlaws, if Arsenal would be a character that could be picked up. I play Hawkeye very well in Marvel games and Jason and Arsenal have had a bromance going since the New 52 kicked them off in that series.
EDIT: JSW, it's hard to say what kind of character personality I'd go well with, though I'd say someone who is laid-back, charming, a good sense of fighting only for when it's needed and what's right, not someone too brooding or who gets off on violence, no might makes right characters. I can talk more with you in PM if you'd like about what might fit well. :)