BB two pairs facing PSB barrel vs a fun player

Posted 8 years, 6 months ago

Blinds: $0.25/$0.50 (6 Players) MP: $90.46
CO: $50.00
BN: $49.63
SB: $91.68
BB: $58.62 (Hero)
UTG: $56.94

Preflop ($0.75) Hero is BB with 9 5 2 A

3 folds, BN raises to $1.75, SB folds, Hero calls $1.25

Flop ($3.75) A K 9

Hero checks, BN bets $3.56, Hero calls $3.56

Turn ($10.87) A K 9 7

Hero checks, BN bets $10.33, Hero folds

My question is: Do I overfold this turn vs strong looking line?