(11) a heads up hand against UTG+1 holding AK

[thedirtydirty]

played a few rounds against him, has been aggressive with his good hands preflop but has limped a few times also, the hands he showed down have all been solid (JJ, AK, KQs). How often is my hand good here?

Sorry about the formatting, converter didn't work, I bolded actions to make it a little easier to read.

Seat 1: paulb-2641 (2,092)
Seat 2: thedirtydirty (1,620)
Seat 3: fam2feed (1,132)
Seat 4: MaizeRage12 (1,655)
Seat 5: mikebagadonuts (1,125)
Seat 6: paylor (1,200)
Seat 7: maseratigtp (3,351)
Seat 9: Maddog54 (1,325)
mikebagadonuts posts the small blind of 20
paylor posts the big blind of 40
The button is in seat #4
*** HOLE CARDS ***
Dealt to thedirtydirty [Kc As]
maseratigtp folds
Maddog54 calls 40
paulb-2641 folds
thedirtydirty raises to 180
fam2feed folds
MaizeRage12 folds
mikebagadonuts folds
paylor folds
Maddog54 calls 140
*** FLOP *** [Qc 7s 9d] (pot 420)
Maddog54 checks
thedirtydirty bets 200
Maddog54 calls 200
*** TURN *** [Qc 7s 9d] [Qs] (pot 820)
Maddog54 bets 400

I can't put him on a queen there, I want to think oesd or flush, but possibly 2 pair with a pair in his hand. Is this a fold or a push? And if I push, how often do I get a better hand to fold here?

Thanks