Totally lost!!!! What line should I take on the flop in 3bet pot?

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Totally lost!!!! What line should I take on the flop in 3bet pot?

BN: $36.45
SB: $42.97
BB: $120.39
UTG: $18.99
HJ: $134.80 (Hero)
CO: $61.48
Preflop ($0.75) (6 Players)
Hero was dealt T J J 9
UTG folds, Hero raises to $1.50, CO folds, BN raises to $4.31, SB folds, BB folds, Hero calls $2.81
Flop ($9.37) Q 7 6 (2 Players)
Hero checks, BN bets $9.37
Final Pot
BN wins $9.37 , BN wins $8.91
Villain is a 27/18/8.8 short stacker reg. No specific read on him.
I thought his range consists mostly AA, while I was playing.
I didn't know what to do on the flop, so just fold it. I considered calling the flop, but if I missed that I have to fold the turn. I thought it's kind of like burning money~ And I didn't even think about shoving the flop, I thought I was way behind. I was surprised that I had that much of equity in the pot.
What line is the most profitable to take?
But, after the session I review my session and I think his range had AA, AKQ4ds, Q7**,76**,T987 type hands.

Omaha Hi Simulation ?
600,000 trials (Randomized)
board: q7c6d
Hand Equity Wins Ties
JcJdtc9d 44.93% 268,704 1,721
aa,akq6,q7,76,89tj,akqt, t987 55.07% 329,575 1,721

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