[prodonkey]

I'm not so sure you have "reasonable" equity on the turn.. if he has any kind of hand on that board it's going to be almost impossible for you to scoop or win the high. Since you have 0 outs to beat a flush, or a 2. You can beat a 7 or 9 if you spike your K or A. So even if he just has something like A4QQ you don't have a whole lot of outs, in that case your A would be good too though.

I just don't think your hand has a whole lot going for it heads up on that board. I'm not calling the river with AK high either.

I'm much more apt to do that when the board pairs, say it was a 27J flop.. and a J rolls off on the turn.

Obviously you are representing a flush.. heads up though I find it rare that people will ever even fold trips here even if they brick on the river, they just make crying calls and they will never fold a flush.