While we have massive equity with the nut flush draw, jamming over a check-raise is an overplay that forces Villain to play perfectly.
Flop Analysis
Checking back is slightly preferred to protect our range, but a small C-bet is a frequent mix to apply pressure on a board that favors our range.
**Ranges:** As the preflop caller in a 3-bet pot, we have a condensed but strong range. BB's check often indicates a lack of Kx or a desire to protected their checking range.
**Board:** The King-high texture with a flush draw is dynamic. Betting small allows us to get value from 9x or smaller pairs while keeping the pot manageable if we miss.
**Sizing:** The 33% pot sizing is ideal here. It forces BB's underpairs and Ace-highs into a tough spot without over-committing us against their check-raising range.
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> **Takeaway:** On K-high boards in 3-bet pots, use small sizing to maintain range pressure while keeping your draws cheap to realize.
Flop Analysis
Jamming here is a significant mistake; we should call to realize our equity. By shoving, we fold out all the bluffs we beat and only get called by hands that have us crushed.
**Ranges:** BB's check-raise range is polarized between strong Kx, sets (99, 22), and semi-bluffs like QJs or lower flush draws. Shoving allows them to fold the bluffs and snap-call with the value.
**Math:** We have ~44% equity against a strong range, which is plenty to call. However, we don't have enough fold equity against a 3-betting range to make a 4-bet jam profitable at this SPR.
**Plan:** By calling, we keep the pot size controlled and can potentially take the pot away on the turn if BB checks, or simply hit our flush and stack their Kx.
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> **Takeaway:** When holding the nut flush draw against a check-raise, call to keep their bluffs in and realize your equity; don't turn a high-equity hand into a pure bluff.
Note: Shoving over the check-raise is an overplay; calling allows you to realize your 44% equity while keeping Villain's bluffs in.