Here the question is not about the check-raise from the villain because of my strong read that he is full of sh*t and almost never have me beat, but my question is a bit specific. I am always betting turn but not sure about sizing. Taking into account the stack size of the villain and the fact that he does not believe me much, do I want him to call me with, let's say, AJo and I can bet like 40% and often get a call or even induce him to do something stupid or it would be better to lead for about half the pot or even bigger to protect my vulnerable boat? + I don't want to give him good odds to call.

Here I put him all in which I guess was not the best play as I could maybe bet really small and get called or again - give villain the opportunity to hang himself.