What do we think of BB? Most semi competent players in BB's shoes would raise pre vs a button opener with AT-AK. If we can eliminate those from his range, then we know a) we have him absolutely crushed and b) he's going to have a very hard time folding.
I'm guessing hero opened to $10 and BB called, so $20 pot, pre-flop. Then Hero cbet $10 and got called on flop, so now $40 pot. On the turn, I want to bet before any scare cards come on the river that would give him an easier fold. Feels like we need to act like we're on a draw, but in that case we'd almost always check through this turn since he showed the table the Ace. Super tough decision here. I think we're now in a polarized situation where we're either getting a fold if we bet or we have someone willing to make a big mistake. There may not be much middle ground. Let's target those capable of making the big mistake and throw out $50.