5NL: QJs flops two pair on a coordinated board

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PokerStars No-Limit Hold'em, $0.05 BB (7 handed) Poker Stars Converter Tool from FlopTurnRiver.com (Format: 2+2 Forums)

UTG ($11.72)
MP1 ($15.79)
MP2 ($9.95)
CO ($0.29)
Hero ($4.93)
SB ($18.56)
BB ($9.15)

Preflop: Hero is Button with Q[img]/images/graemlins/diamond.gif[/img], J[img]/images/graemlins/diamond.gif[/img].
<font color="#666666">2 folds</font>, <font color="#CC3333">MP2 raises to $0.1</font>, CO calls $0.10, Hero calls $0.10, <font color="#666666">1 fold</font>, BB calls $0.05.

Flop: ($0.42) K[img]/images/graemlins/club.gif[/img], Q[img]/images/graemlins/club.gif[/img], J[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(4 players)</font>
BB checks, <font color="#CC3333">MP2 bets $0.1</font>, <font color="#CC3333">CO raises to $0.19</font>, Hero ...

Not quite the flop I was hoping for when I called. BB here is a pretty horrible player that will play big pots with pretty marginal hands. CO lost a big pot a few hands earlier and hasn't reloaded, so he may just be looking to stack off and leave. No read on MP2. What's our move?

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A bump in hope of encouraging some comment.

I often feel like I'm not sure how to play hands like this on coordinated flops. With a weaker hand I could find a fold pretty easily on the basis that even if I'm ahead, I'm giving some unpleasant reverse implied odds, while with a set or stronger clearly I'm trying to get all the money in.

In terms of hand-reading, how much should I widen the range I put opponents on on coordinated flops where they may be pushing a draw? Can I call and re-evaluate a safe turn? Is just folding here too weak?