No-Limit Hold'em, $2.00 BB (8 handed) - Hold'em Manager Converter Tool from FlopTurnRiver.com

BB ($297.50)
UTG ($211.75)
UTG+1 ($222.65)
MP1 ($147)
MP2 ($40)
Hero (CO) ($268.65)
Button ($45.33)
SB ($38)

Preflop: Hero is CO with Q, Q
4 folds, Hero raises $8, 2 folds, BB calls $6

Flop: ($17) 9, Q, J (2 players)
BB checks, Hero bets $14, BB calls $14

Turn: ($45) 8 (2 players)
BB checks, Hero ???

villain was 12/6/2. No specific history/reads.
With his stats, I don't think he's calling a lot of 2nd barrils on this turn.
However, we have top set, so the question is what do we do if we bet $35 and villain raises? Do we expect that only a T would do that? The following Ts should be in his range: JTs/T9s/TT