Poker Stars, $0.05/$0.10 No Limit Hold'em Cash, 5 Players

Hero (SB): $13.18 (131.8 bb)
BB: $7.37 (73.7 bb)
MP: $9.97 (99.7 bb)
CO: $4.13 (41.3 bb)
BTN: $12.07 (120.7 bb)

Preflop: Hero is SB with A K
2 folds, BTN raises to $0.30, Hero raises to $1.20, BB folds, BTN calls $0.90

Flop: ($2.50) 9 A 4 (2 players)
Hero bets $1.40, BTN calls $1.40

Turn: ($5.30) Q (2 players)
Hero bets $3

Villain is 28/14. 28 A%. 4/7 fold to CB. 150 hands

B/F turn is bad? do we get value from worse aces or do we see everything we're ahead of fold? if B/F turn do it smaller maybe?