Is a flop bet mandated here?

[sccrneo]

When the flop is checked to you, bet and see what happens. You have two overs plus a backdoor straight draws. You have a chance to pick up the pot(unlikely) but any folds increases your chances of winning. The flop bet also likely sets up a free card on the turn if you miss. If you have only one or two callers on the flop, I probably bet the turn again hoping to fold the field. When you get the inevitable call on the turn. Just check behind on the river and laugh when he shows his bottom pair.

If you are check-raised on the flop. I call and fold turn UI.