Dealing with the damn flop min-raise.

[Sam T.]

This is a hand from a couple of weeks ago, but I don't think I had any reads.

I've been trying to figure out the best way to deal with yahoos who min-raise on the flop. The stereotype is that it is a monster trying to get more money into the pot. But more and more (thanks to PAHUD showing me mucked cards) it seems to be someone who wants to get a cheap showdown. At least that was my thinking in this case:

PokerStars No-Limit Hold'em Tourney, Big Blind is t200 (8 handed) FTR converter on zerodivide.cx

CO (t18225)
Button (t27250)
SB (t35942)
BB (t2593)
UTG (t40761)
Hero (t17175)
MP1 (t14199)
MP2 (t24781)

Preflop: Hero is UTG+1 with Q[img]/images/graemlins/heart.gif[/img], A[img]/images/graemlins/diamond.gif[/img].
<font color="#666666">1 fold</font>, <font color="#CC3333">Hero raises to t600</font>, <font color="#666666">3 folds</font>, Button calls t600, SB calls t500, <font color="#666666">1 fold</font>.

Flop: (t2000) T[img]/images/graemlins/diamond.gif[/img], 9[img]/images/graemlins/diamond.gif[/img], 4[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(3 players)</font>
SB checks, <font color="#CC3333">Hero: bets t1200</font>, <font color="#CC3333">Button raises to t2400</font>, SB folds, <font color="#CC3333">Hero raises to t14175</font>

I hate simply calling (then what? check-fold if I don't improve? give his QJ a few more free cards?), and folding to a min-raise seem so weak.

So my main question is less about this hand than how do you deal with this situation.

Sam