I have absolutely no idea what the best line is tbh.
Against someone who I don't have any real reads on I would tend to just bet all 3 streets around 60-70% of the pot with TPGK. If I thought he was passive I'd probably fold to a raise on the turn or river. If he raises the flop I'd probably call but it'd put me in a spot I wasn't 100% on what to do and I'd probably spew a bit.
I'm not 100% sure I like the check/call part of the line tbqh. I'm not sure what exactly it does to help us put villain on a range / put him off our hand strength if we are just going to lead out on the next street if he bets. It just gives him the chance of checking behind telling us nothing as he can do this with the top and bottom of his range and we miss out on value of most of the hands we have beat and if he bets the only thing which this might get more value from is a hand he may try and turn into a bluff to try and push us off the bet if he thought we were just c-betting. Otherwise, once again we know nothing extra about his range.
And if he has hit a set or whatever then we lose even more value than we would betting and folding to a raise on the turn than check/calling and then leading out on the river in which case he should raise with a better hand than TPGK.
At least with betting every street (assuming he just calls) we can be fairly sure there is a lot in his range that we beat (at these stakes people call with a lot of rubbish) and we also have some fold equity.
However, what I say isn't necessarily going to be right. Someone much better will probably come in and say something else in which case they're probably right :P (i.e the post above, although he agreed with me)
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