I've been thinking about these kind of spots recently, but I still can't come up with a solid answer. If it was HU to the flop, hero OOP, I would check my range but I'm not sure how BB overcalling should affect our strategy. Like we still want to protect our x range, but we have more incentive to deny equity (esp w JJ-99) and BTN's stabbing frequency decreases. How would you suggest creating our ranges in these spots, maybe using this one as an example.

My guess is checking 100% on this flop is the correct answer as now we have two ranges which can have the nuts in to worry about.

Bonus Q: If being MW doesn't affect our strategy for this board, what flops do we see the greatest changes?
Really interested in peoples thoughts, just say whatever I just want to start a discussion.