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The only variant I might try is to raise the turn for a free showdown.

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Can you explain your reasoning for this? Make villain be any type of player you want.

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Many villians will keep betting at you until you show you have a hand. If you think he'll slow down on your raise, you get to showdown for the same cost as calling down. If you improve, you get an extra bet by betting the river. Win 3BB when you improve, win/lose 2BB otherwise.

It's particularly useful when you have a reasonable number of outs.

I'm not saying the turn raise is the play. I'm saying with a common type of opponent, it's an option.