These are legitimate concerns with having a check raise strategy here. Without the button having a very high stabbing frequency when checked to, it seems very difficult to take this approach. Essentially bad regs and fish who are calling too wide pre, and then bluffing a large part of their air range when checked to have to be the target opponent.

Most mediocre opponents and better just don't contain a call range pre that will blindly bet when checked to often enough on this texture to warrant a checking strategy. What ends up happening is we compromise both the value and bluff part of our range by checking a flop where we retain an equity advantage.

We miss out on a highly successful bluff spot with a sizable portion of medium to low equity bluffing candidates, while also allowing our opponent to realize with the medium to weak value portion of our range that benefits from a fold when we bet.

I assume the stronger value part of our range is hurt the least by a check solely due to having so much equity, as well as getting thin value on later streets. However, for these same reasons, we will hurt our bluffing range since we now sacrifice the exponential growth of the pot by being able to bet across three streets.

I assume a checking strategy can be fine. However, I bet if we looked at what pio suggests, a bet everything approach is probably losing little ev vs an optimal mixed strategy. And in a mixed strategy approach, I wonder if Axhh combos are better candidates to check flop over weaker flush draws for a variety of reasons.