QQ 3 bet pot + cold caller nl 25 sh

PokerStars - $0.25 NL (6 max) - Holdem - 6 players
Hand converted by PokerTracker 3

BB: $25.60
UTG: $10.67
MP: $28.53
Hero (CO): $25.00
BTN: $10.95
SB: $25.10

SB posts SB $0.10, BB posts BB $0.25

Pre Flop: ($0.35) Hero has Q♣ Q♠

UTG raises to $0.50, fold, Hero raises to $1.75, fold, SB calls $1.65, fold, fold

Flop: ($4.25, 2 players) 2♦ 9♠ A♦
SB checks, Hero checks

Turn: ($4.25, 2 players) 2♣
SB bets $3.50, Hero calls $3.50

River: ($11.25, 2 players) 9♥
SB bets $7.00, fold
Villain is complet unknown from my expiriance people ussualy cold call 3 bets oop with 10 10 + and Ak o so did i play my hand ok ?!
Is it better to cbet flop then give up cause my hand is little bit face up this way ( they will put me lot on JJ ,QQ, KK or some A10 type off hand )?!