Im playing very lag, 40% VP$IP and 20% PFR. Preflop re-raise is common, possible range is AK, JJ-AA. Opponent acted very scared of the flop, almost went into time bank before betting slightly less than half pot. I still put him on same range here, including a missed AK. My thoughts on the flop were that if I hit and he has JJ-AA, i'll take his stack. If I miss he'll make my decision easy on the turn by either punching it with TT-AA or slowing down with his AK. Thoughts on the flop call?

PokerStars No-Limit Hold'em, $4 BB (6 handed) FTR converter on zerodivide.cx

saw flop|saw showdown

CO ($390.10)
Button ($496.95)
SB ($643.90)
BB ($378)
UTG ($438.55)
Hero ($758)

Preflop: Hero is MP with Q, Q.
UTG calls $4, Hero raises to $16, 3 folds, BB raises to $68, UTG folds, Hero calls $52.

Flop: ($142) 8, 9, T (2 players)
BB bets $68, Hero calls $68.

Turn: ($278) J (2 players)
BB bets $242 (All-In), Hero calls $242.

River: ($762) 4 (2 players, 1 all-in)

Final Pot: $762

Results in white below:
BB has As Ad (one pair, aces).
Hero has Qd Qs (straight, queen high).
Outcome: Hero wins $762.