I don't like check raising the flop as we risk about the same amount of chips as we do betting the flop and turn, but by 2 barreling, you usually get it to the river. If you try to draw this way every time you're out of position, you'd be a check raising monkey, and you'd usually risk far too much money to win a little. Check raising with a draw would lose you money in the long run.

On low flops like this, I'll fight for the pot. The villain usually has two overcards and flops like this hits your range pretty hard. I'll bet most turn cards, but the card I'm most reluctant to bet would be an ace. If he's calling with two overcards, he usually has an ace.