PL08 tourney with bottom two pair

[Bendero]

This hand was pretty late in a tourney where 18 places paid and 30 players remained. My stack was a little under average at this point.
Blinds were 200/400.
I have 5590 in chips and my opponent has 5962 in chips.
Everyone folds to the SB and me in the BB.

PokerStars (8 handed) converter

Preflop: Hero is BB with Q[img]/images/graemlins/club.gif[/img], Q[img]/images/graemlins/diamond.gif[/img], K[img]/images/graemlins/club.gif[/img], 6[img]/images/graemlins/heart.gif[/img]. SB posts a blind of 200.
<font color="#666666">6 folds</font>, SB (poster) completes, Hero checks.

Flop: 6[img]/images/graemlins/diamond.gif[/img], A[img]/images/graemlins/spade.gif[/img], K[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">SB bets</font>, <font color="#CC3333">Hero raises</font>, <font color="#CC3333">SB raises</font>, Hero calls 1990 (All-In).

Turn: T[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(2 players, 1 all-in)</font>

River: 2[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(2 players, 1 all-in)</font>

Final Pot:

Results in white below: <font color="#FFFFFF">
Hero has Qc Qd Kc 6h (High: two pair, kings and sixes).
SB has Ad Ks 8h 5c (Low: 8, 6, 5, 2, A | High: two pair, aces and kings).
Outcome: SB wins . </font>

Should I have re-potted this on the flop like I did? I felt like my hand was still good at this point and I didnt want to give any more free cards so that is why I went crazy on the flop. What are some other ways I could have played this hand? Is folding to a pot sized bet on the flop an option here? Please help.