[prayformojo]

I push the turn first to act. Hero is up against a flush draw, a J OESD, trip 10s, or a pair of Queens, or some combination of these hands, most of which call a push that's < pot sized bet, far more often than he's up against a made full house. Hero offers no implied odds. Ignore the monsters under the bed and put money in now.

As played, I don't see the purpose of checking the turn unless you intended a check/push. Villain 1's call doesn't scare me much, since he's getting great odds on a lot of draws. When it's back to me I push, getting almost 2:1 on my money. If you're calling any non-diamond, non-double pair river anyway, which I think you would have to, your money's going in the pot if you're beat most of the time anyway.