Very simple turn question

Opp seems taggy. Shouldnt I just push turn with all the draws out there even though its an overbet?

PS: I misread the flop and thought I had an overpair, thats why I raised, so dont comment on my flop play.

Party Poker No-Limit Hold'em, $ BB (5 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

MP ($198.16)
Hero ($105.20)
SB ($67.10)
BB ($97.10)
UTG ($137.20)

Preflop: Hero is Button with Q, Q. SB posts a blind of $0.50.
1 fold, MP calls $1, Hero raises to $4.5, 1 fold, BB calls $3.50, MP folds.

Flop: ($10.50) T, 7, K (2 players)
BB bets $7, Hero raises to $20, BB calls $13.

Turn: ($50.50) Q (2 players)
BB checks, Hero bets $33, BB calls $33.

River: ($116.50) 9 (2 players)
Hero calls $39.60.

Final Pot: $156.10

Yeah, shove. Lots of worse hands call and folding out a hand with outs isn't a big deal.