Please berate my fishy play and suggest a better line!

[mntndrew]

live 3/6

Hero dealt 4 [img]/images/graemlins/club.gif[/img] 4 [img]/images/graemlins/spade.gif[/img] in MP1.

UTG, UTG+1 call, Hero calls, BN calls, SB raises, BB and limpers all call.

Flop: 5 [img]/images/graemlins/club.gif[/img] 4 [img]/images/graemlins/heart.gif[/img] 3 [img]/images/graemlins/diamond.gif[/img]

SB bets, BB, UTG fold, UTG+1 raises, Hero calls, BN calls, SB calls.

Turn: 3 [img]/images/graemlins/club.gif[/img]
SB checks, UTG+1 bets, Hero calls, BN calls, SB calls.

River: 9 [img]/images/graemlins/diamond.gif[/img]
SB, UTG+1 check, Hero bets, BN, SB fold, UTG+1 calls.

I really just need to 3-bet the flop, don't I? As played on the flop, do you go for overcalls not wanting to blow straight drawers out of the pot with a monster and the bet coming from my right, or am I still playing too cute for my own good?

SB raises more than your average 3/6 player pre-flop but shuts down quickly to any aggression (goes into calldown mode immediately to a flop raise on a completely innocuous board with KK). UTG+1 seems to raise thin on the flop a lot.