25NL - QQ with flush-draw on flop and Ace on turn

[bober2]

How should this be bet?

PokerStars No-Limit Hold'em, $0.25 BB (5 handed) Hand History Converter Tool (http://poker-tools.flopturnriver.com/Hand-Converter.php) from FlopTurnRiver.com (http://www.flopturnriver.com) (Format: 2+2 Forums)

Button ($10.45)
SB ($4.15)
BB ($41.25)
Hero ($58.30)
MP ($19.90)

Preflop: Hero is UTG with Q/images/graemlins/spade.gif, Q/images/graemlins/heart.gif.
<font color="#CC3333">Hero raises to $1</font>, MP calls $1, <font color="#666666">1 fold</font>, SB calls $0.90, BB calls $0.75.

Flop: ($4) 5/images/graemlins/club.gif, 2/images/graemlins/heart.gif, T/images/graemlins/club.gif <font color="#0000FF">(4 players)</font>
SB checks, BB checks, <font color="#CC3333">Hero bets $3.75</font>, MP calls $3.75, SB folds, BB calls $3.75.

Turn: ($15.25) A/images/graemlins/diamond.gif <font color="#0000FF">(3 players)</font>
BB checks, Hero checks, MP checks.

River: ($15.25) 6/images/graemlins/club.gif <font color="#0000FF">(3 players)</font>
<font color="#CC3333">BB bets $3.5</font>, Hero calls $3.50, MP folds.

Final Pot: $22.25