On a straight board, A-high should check and fold to a small check-raise; bluffing with A-high is a low-EV line.
Flop J54 with a spade draw is very dynamic and our range has plenty of strong hands, but with A-high and no real equity we mostly check and let BB continue with their draws and weaker pairs. Solver leans heavily toward checking here, with some small bets mixed in; checking keeps our range protected and avoids getting check-raised off our equity.
Turn 8h is a brick for us and doesn’t change the board’s overall connectivity, so checking again is standard. We still have A-high and no real showdown value, and betting would mostly fold out worse hands while getting called by better ones.
River 6h completes the 6-5-4-8-7 straight and BB checks; with A-high and no straight, we should check and give up. Solver prefers a medium-sized bluff sometimes, but that’s with a different hand class and not with A-high. A-high has almost no showdown value and we block some natural bluffs, so bluffing is a low-EV line.
Note: Bluffing river with A-high on a straight board is a low-EV line; A-high has almost no showdown value and blocks some natural bluffs, so checking and giving up is preferred.
Once BB check-raises small, we’re getting about 2.8:1 and need ~26% equity; A-high has almost no showdown value and we block some natural bluffs, so folding is preferred. Solver leans toward folding this combo here, and calling with A-high is a marginal mistake.
Note: Calling the small check-raise with A-high on a straight board is a marginal mistake; A-high has almost no showdown value and we block some natural bluffs, so folding is preferred.