The 'ol "push a non-heart turn"

Did I play this right or should I just re-raise flop to see if I can get the flush to chase? If I reraise the flop to $40 to sniff out the set, I am committing myself, right?
FWIW, I put him on a heart draw or a steal with the size of his raise, Maybe AQ.

Hold'em NL ($0.25/$0.50)
Seat 6 is the button.
Seat 1: HERO ($65.78 in chips)
Seat 2: ogborn ($42.67 in chips)
Seat 3: DoctorX2k ($75.10 in chips)
Seat 4: pumbar ($37.20 in chips)
Seat 5: shadow64 ($100.15 in chips)
Seat 6: beachy ($49.25 in chips)
HERO: posts small blind $0.25
ogborn: posts big blind $0.50
----- HOLE CARDS -----
dealt to passdsuga [Kd Ks]
DoctorX2k: folds
pumbar: folds
shadow64: calls $0.50
beachy: calls $0.50
HERO: raises to $2.50
ogborn: folds
shadow64: calls $2
beachy: calls $2
----- FLOP ----- [4h Qh 7d]
HERO: bets $6
shadow64: folds
beachy: raises to $15
HERO: calls $9
----- TURN ----- [4h Qh 7d][8s]
HERO: bets $44

Especially given that villian had ~$20 less than you, I don't hate it. Betting less still might let the flush draw call without implied odds, however.

Well played, nh.