Probly standard but just checking

[PokerCad]

Commerce 20-40
folded to mp who limps, I raise on the button with JJ, SB 3 bets (kinda aggro but not insane will raise any PP down to 99 AK AQ etc. PF), BB (really bad player) calls, MP folds, I call, flop 268 rainbow, SB bets BB calls I raise SB 3 bets,the 3 bet tells me Im probly beat, I then go into check call mode. Would it be better to fold? take the weak check call route? or continue to press? is there really any +ev way to play these types of hands?

thanks