$16 - Overpair on scary board

[Paranoia87]

Alright, this is what came up the other hand.

PokerStars Tournament, Big Blind is t30 (8 handed) Converter on pregopoker.com

UTG (t2105)
UTG+1 (t1020)
MP1 (t3200)
Hero (t1455)
CO (t925)
Button (t2045)
SB (t1280)
BB (t1470)

Preflop: Hero is in MP2 with Q[img]/images/graemlins/spade.gif[/img] Q[img]/images/graemlins/heart.gif[/img]
UTG calls t30, <font color="gray">UTG+1 folds</font>, MP1 calls t30, <font color="red">Hero raises to t150</font>, <font color="gray">CO folds</font>, Button calls t150, SB calls t135, <font color="gray">BB folds</font>, <font color="gray">UTG folds</font>, MP1 calls t120

Flop: (t660) T[img]/images/graemlins/club.gif[/img] J[img]/images/graemlins/club.gif[/img] 3[img]/images/graemlins/club.gif[/img] (4 players)
SB checks, MP1 checks, <font color="red">Hero bets t1305 (All-in)</font>, <font color="gray">Button folds</font>, <font color="gray">SB folds</font>, <font color="gray">MP1 folds</font>

It is obviously not a board for slow plays. The question is what to do with the hand on that board. I didn't want anybody to draw so I took drastic measures.

How frequently do I have to expect to be called here either by a draw or by a hand that already beats mine?