I make it at least $4 on the flop, that should offer villain about 2-1 pot odds. I might even just push right there and hope he calls it off anyway.

As played, on the turn we have $8 left and the pot is $6 so I push cos I dont like leaving piddly little amounts behind on the river when opp is probably drawing. I guess $4 on the turn and the rest on the river is fine too.