Against most players I would just check/fold the flop and throw KK/QQ a bone. If his range is wider AND you feel you must bet this flop, it doesn't look like such a bad spot to look him up.

equity win tie pots won pots tied
Hand 0: 54.226% 53.96% 00.27% 9615 48.00 { AhQh }
Hand 1: 45.774% 45.51% 00.27% 8109 48.00 { QQ+, AKs, AKo }