pot $109, you got $140 left. If you bet meaningfully, it has to be $80 plus and I don;t think you can fold the last $60... so the question is, are you prepared to get all-in.
Based on pre-flop you look like AA and an ace hit, I'd think about weak betting $30 and watching the insta-fold. Call a shove and push any re-raise. Based on your read you are mostly ahead here - would villain call a 4-bet with AQ? I'm guessing no. If you're against AA, it happens.