Westley, you are a thoughtful poster and a welcome addition to the forums, but it appears that you think that all players are TAGs. The post makes clear that that isn't the case here. Hero has way to much of an equity edge not to 3 bet AK preflop.

I'd be tempted to bet out on the turn since you don't want it checked through and you don't even mind a raise from EP because it's more likely to fold EP with his gutshut or 6 outer.