Fishy table (stationy preflop). I'm in CO with A♦ A♥ and I open to $40 after 3 limps in front, button and limpers call. 2 Vs have $1000, third has $700 and the fourth $400, we cover.

Flop: A♣ 8♦ 7♥ Pot $207 Checks to us. I'm going to bet because T9 and 65 are in their range and button will very likely not bet and we'll just miss a whole street of value.

What sizing do we assign to each street to maximize our chances of getting it in on the river?