€20 NLHE 6-max: Overpair re-raised on wet board and blah

[ComplexPlaya]

SB: €3.70
BB: €106.62 48/17/1
Hero (UTG): €21.62
CO: €28.66 26/19.2 (13k hands) - raises flop 11%
BTN: €18.48

SB posts SB €0.10, BB posts BB €0.20

Pre Flop: (€0.30) Hero has K:spade: K:heart:

Hero raises to €0.70, CO calls €0.70, fold, fold, BB calls €0.50

Flop: (€2.20, 3 players) J:heart: 4:diamond: Q:heart:
BB checks, Hero bets €2.20, CO raises to €5.50, fold, Hero wonders wtf to dooooo

This is a bad situation, what to do here? I thought he was aggressive enough to raise his draws here, was I wrong? Is he more likely to call with draws so I won't come over his raise, and to let the fishy dude in, does he raise KQ, AQ here ? They should raise because of the drawy board right?

What range can we put him on and what's our action (if I decide to keep playing I don't know how much to raise, a shove is almost twice the pot, a min-raise gives his draws good odds if he has any)

 

[JOEBOB69]

He most likley 3bet you with JJ,QQ so i'm not counting those.AQ,heart draw,maybe a few st8 draw more than likely.11% of legit hands to be raise on the flop is hard to do,so he also as to have air in there sometimes.
I would just shove get value out of AQ,an flush draws.

 

[Sysvr4]

What ^^^ he said.

Your realistic worst case here is getting up against QJ where you're still 32% to win. 44 is also possible, but both are a lot less likely than AQ/KQ/QT or some variant of those with a draw.