PS $500K hand, help me lose less $$ next time.

Background: PS $500K, I am ranked about 70th with 2x the avg stack and 1000 ppl left. I don't have a whole lot of hands on the person I get involved with although PT is saying VPIP of 21 and PFR of 7.5 (puts money into pot 21 % of time and raises preflop 7.5 %).

PokerStars No-Limit Hold'em Tourney, Big Blind is t400 (9 handed) FTR converter on zerodivide.cx

MP2 (t9983)
MP3 (t12810)
CO (t7915)
Button (t10048)
SB (t8052)
BB (t7815)
Hero (t15060)
UTG+1 (t14430)
MP1 (t6570)

Preflop: Hero is UTG with A[img]/images/graemlins/diamond.gif[/img], Q[img]/images/graemlins/diamond.gif[/img].
<font color="#CC3333">Hero raises to t1200</font>, <font color="#CC3333">UTG+1 raises to t2800</font>, <font color="#666666">7 folds</font>, Hero calls t1600.

Flop: (t5775) 3[img]/images/graemlins/heart.gif[/img], 8[img]/images/graemlins/spade.gif[/img], Q[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(2 players)</font>
Hero checks, <font color="#CC3333">UTG+1 bets t2800</font>, <font color="#CC3333">Hero raises to t6000</font>, <font color="#CC3333">UTG+1 raises to t11605</font>, Hero calls t5605.

Turn: (t28985) 9[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(2 players)</font>

River: (t28985) 7[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(2 players)</font>

Final Pot: t28985

My original line was: I didn't like the reraise preflop and put him on AK, AA, KK, QQ, JJ. With this player I didn't think TT would be in there, but it could be TT, 99, 88 I guess if my read was wrong. So going to the flop, I was thinking I would rather see the Q than the A in case I was against AK and then that flop came. By the flop, the pot was 8k and so a pot sized bet would be 75% of my chips, so I decide to check and see what he does. When he bets 2800, which was less than half of the pot, I wasn't sure if he had AA/KK/QQ or AK/JJ so my though was to check raise to gain information. If he pushed after the c/r then I was beat and could lay it down. Of course he did push and I donkey called anyhow even though I knew I was beat.

Please teach me the best way to lose the least in this situation. Bet out on flop? how much? Check and call(seems weak and I let myself get bluffed by AK/JJ/TT)? Check and Fold(seems weak/tight). Any analysis welcome. Kinda sore about this one since I would have most likely cashed if I had played this one better.

Results in white below.

<font color="white"> Villian has Ac As </font>