[Smoothcall]

No i wouldn't be folding. The bb will probably not push with a full house on the turn. What would he be protecting it from? If he pushes i think its more likely he's betitng a worse hand than mine. You don't have to bet the flop and shouldn't. Its not a horrible mistake to bet the flop. And you should bet sometimes for variation but not because i'm afraid i'm gonna get played off the best hand. Its gonna be pretty hard to play me off AA here.