Well I'd first say we need to give him a 3-bet/flatting range from a 4-bet. I'd typically assume it's relatively tight. Maybe TT-KK, ATs+, KQs, AQo+?
Board: 9h Ts 6c
Dead:
equity win tie pots won pots tied
Hand 0: 55.426% 54.80% 00.62% 29297 334.00 { Ac9c }
Hand 1: 44.574% 43.95% 00.62% 23495 334.00 { KK-TT, ATs+, KQs, AQo+ }
That said, seems like a spot to check. Villain could float with like Axh or Ax
or KQs, maybe but we're not getting anything better to fold and still have some decent equity.