[Ansky]

If you check I suspect he checks behind more hands that you beat than hands that will call if you shove. Uhhh, if that makes sense, I'm saying you should shove because he will still call with a lot of aces, and he will also check behind w/ a lot of those aces if you check. So I really think that unless he is passive enough to check fold the river (which I really doubt he is for a half pot bet) then you should shove it yourself.