After double-checking, A-high with no real blockers can bluff river on a very connected board.
Flop T87cc, pot 8BB, SPR ~5. This board is very draw-heavy and BU has position and the nut advantage. With Ah3d we have only A-high and no real equity or blockers, so checking is standard. Solver prefers checking almost always here, and our hand is a pure check with no real bluffing or value argument.
Turn 4h, both players check again. The board is still very connected and BU’s range is still strong, but our A-high is still just air. Checking again is the right idea—there’s no real reason to stab into a range that has plenty of made hands and strong draws.
River Jh, pot 8BB, SPR ~5. The board is now T87J4 with two clubs and no flush on the board. After double-checking, A-high with no real blockers can bluff river on a very connected board. Solver shows a mix of check and overbet, but a medium-sized bluff works well here—our A blocks some of BU’s natural folds (A-high) and we don’t block many of BU’s strong made hands. BU folds, so the bluff is successful.