BB: 22.02 BB (VPIP: 16.20, PFR: 11.51, 3Bet Preflop: 5.74, Hands: 288)
Hero (UTG): 31.8 BB
UTG+1: 38.35 BB (VPIP: 31.43, PFR: 20.95, 3Bet Preflop: 2.27, Hands: 106)
MP: 18.48 BB (VPIP: 26.11, PFR: 14.03, 3Bet Preflop: 4.60, Hands: 228)
CO: 15.56 BB (VPIP: 21.67, PFR: 14.23, 3Bet Preflop: 6.96, Hands: 265)
BTN: 41.53 BB (VPIP: 25.96, PFR: 18.27, 3Bet Preflop: 9.09, Hands: 211)
SB: 43.74 BB (VPIP: 21.35, PFR: 19.54, 3Bet Preflop: 7.34, Hands: 271)

7 players post ante of 0.1 BB, SB posts SB 0.5 BB, BB posts BB 1 BB

Pre Flop: (pot: 2.2 BB) Hero has 9s Ts
Hero raises to 2 BB, fold, fold, fold, fold, SB raises to 6 BB, fold, Hero calls 4 BB

Flop : (13.7 BB, 2 players) 3c 5c 9d
SB bets 7 BB, Hero ?

Villain is a reg, no reads.

I assume he is cbetting his whole 3betting range on such a board.

If we give him a strong, worst case 3bet range vs utg, TT+, AK, can we ever call flop, fold turn unimproved?

Or is it better to deny the equity of his overcards by shoving the flop?

With such a range, we have 37.7% equity on the flop, and we only need 25% to call. Of course, a more realistic 3bet range would include some bluffs, which would make our call even better.

He could also think we are trapping, and slow down OTT, which makes me think that call flop is a bit better than shoving.

Any ideas?