Let's say you are in position and preflop was raised by you. On the flop a very solid villian check raises the flop. I assume the deeper you are the less appealing ripping it becomes? How do you play a blank turn that adds a gutshot? How does your answer change between100bb to 250bb?

So the question I would first wonder is what is the size of the pot preflop under these circumstances for the range of his we are worried about which is mostly KK and some 9910J or whatever and of course some pair plus straight plus flush draws we are 60/40 ahead of he may play this way as well as some two pair plus draw hands we are 40/60 on.

So for the KK scenario if he opens to 3 BB you pot it 10.5BB he calls only its 23BB or so. Please correct me if wrong.

Then on the flop you bet 23BB and he pots it to 92BB. So I think it’s honestly a trivial get-it-in right there for up to 500BB as you have I think something like 42% equity versus KKK no straight draw and I believe 40% versus two pair K9 plus straight draw hands. If i’m wrong on those numbers it’s still close to 40% both times. What makes it profitable is the significant fold equity you often get as a 500BB reshove, versus say bottom or even mid set. And then you get value with your always very high equity and sometimes better hand versus him and awesome fold equity.

I think above 500 BB calling with the intention to rep straightening cards as bluffs makes the most sense as his CR raise that deep OOP should be mostly sets and your hand and then the SPR would be high enough on the turn to have fold equity. But I know some very good players who will CR flop with the inside wrap themselves trying to rep paired boards but flushes etc with high enough sprs especially when they detect weakness and button continuation betting

I think versus total spew monkeys who will 100 percent continue betting on any turn but might somehow fold to a flop 4B a call down can make sense but that seems quite rare.

I think there are better situations to trap like when you have bottom two plus draw on a draw heavy board and want to wait to the turn equity shift in position and/or bluff him while the SPR is smaller

I agree but i think OP is talking about single raised pot.

TBH, i really think it depends on your villian, will he call you off on a flush turn and even that you still have to dodge paired board on the river.

If that's the case, it means villian is going also call you off if a straight card drops means you have to go at it again on the river if you still miss the flush and river doesnt pair.

More stack depth generally means less likely to 3b but against certain villains who c/r wide it might make me more likely to 3b.

In general, call. If you c-bet a lot - which you generally should - you will get c/red a lot, so you should put lots of strong hands into your calling range, as well as some a few weak hands. AA+nfd is a great hand to just call with because you get to spike like 10 nut outs.

Villain's checkraising range will include all the strong hands, the occasional weird airball, and quite a few pair + gs + fd hands, but if you get it in, you might be getting it in only against the top of his range and thus be down to 35%.

The exact suits matter, so if it's Kc9s4s he has a fair few more KsXs type hands in his range than Ks9s4c.