What is a good line here? Button is 23/12, BB is 20/4

PokerStars No-Limit Hold'em, $0.10 BB (8 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

SB ($12.35)
BB ($14.85)
Hero ($9.90)
UTG+1 ($2)
MP1 ($10.55)
MP2 ($1.55)
CO ($8.15)
Button ($9.85)

Preflop: Hero is UTG with A, A.
Hero raises to $0.5, 4 folds, Button calls $0.50, 1 fold, BB calls $0.40.

Flop: ($1.55) Q, 9, K (3 players)
BB bets $0.5, Hero raises to $2, Button calls $2, BB calls $1.50.

Turn: ($7.55) 2 (3 players)
BB checks, Hero ...