River is a good bluff-catcher; lean toward checking with 7h6h and occasionally bluff with a small sizing.
Ad Qc 9c is a high, semi-wet board that connects better with BB’s defend range than with our SB open. With 7h6h we have no pair, no draw, and no relevant blockers, so checking is the standard line. Solver prefers a lot of checking here, with some small bets mixed in, but our exact hand is a pure check.
The Qh pairs the board and removes the club flush draw. BB’s range is now more capped and less likely to have strong made hands, while our SB range still contains plenty of strong Ax and QQ. Checking again is preferred, but solver does mix in some small and medium bets with this combo. Our range advantage and BB’s capped range make a small bet viable, but checking is the safer, higher-EV default.
River Ah gives us two pair (Aces and Queens) on a double-paired board. BB’s range is now heavily weighted to one-pair hands and some bluffs, while we still hold a lot of strong value. Solver leans toward checking with this combo, but also mixes in small and medium bets. A small bluff with 7h6h is reasonable if we believe BB will fold enough one-pair hands; otherwise, checking and taking the showdown is the safer, higher-EV line.