QQ against 3 opponents out of position.

[aShtk]

One of the very first hand at the table.
Aztecpoker is 40/16/4 over 48 hands.

GAME #730226464: Texas Hold'em NL $0.10/$0.20 2007-11-21 01:02:00
Table Worcester
Seat 1: adeubal ($10.20 in chips)
Seat 3: GBFP ($20.97 in chips)
Seat 5: arsenator ($15.25 in chips)
Seat 6: fareht ($19.70 in chips) DEALER
Seat 8: aaSShhttkk ($20.90 in chips)
Seat 10: AzTECPOKER ($22.95 in chips)
aaSShhttkk: Post SB $0.10
AzTECPOKER: Post BB $0.20
*** HOLE CARDS ***
Dealt to aaSShhttkk [Q[img]/images/graemlins/club.gif[/img] Q[img]/images/graemlins/diamond.gif[/img]]
adeubal: Raise $0.40
GBFP: Raise $1.00
arsenator: Fold
fareht: Fold
aaSShhttkk: Raise $3.50
AzTECPOKER: Call $3.40
adeubal: Fold
GBFP: Call $2.60
*** FLOP *** [10[img]/images/graemlins/heart.gif[/img] 4[img]/images/graemlins/club.gif[/img] 4[img]/images/graemlins/heart.gif[/img]]
Hero ?

I don't have the position and there is a possible flush draw. I think Villain is very strong here, and that was what I thought when he smooth called his blind after a raise/reraise.
I think we have to bet here.But what is the correct size bet ?
Is there another possible move ?