[Genz]

The board is drawy so you don't want to check. But you don't want to scare him away either. You still have two streets to get his money in the pot. Bet like 8 on the turn giving him 2.5:1 which is bad if he is drawing, coz he ain't got no implied odds with his last $4 and get the remaining money in on the river.
Don't just push. It may be irrelevant when you have villain covered. But it looks intimidating to most players so they start to think if they should call. Make a smaller bet and that button is clicked easily. It's just overkill.