NL 10 KK oop against persistent villain line check

[CaptainSubtext]

How would you have played this hand?

PokerStars No-Limit Hold'em, $0.05 BB (5 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: 2+2 Forums)

SB ($14.39)
BB ($4.79)
Hero ($8.24)
MP ($9.04)
Button ($4.86)

Preflop: Hero is UTG with K[img]/images/graemlins/club.gif[/img], K[img]/images/graemlins/heart.gif[/img].
<font color="#CC3333">Hero raises to $0.2</font>, MP calls $0.20, Button calls $0.20, <font color="#666666">2 folds</font>.

Flop: ($0.67) Q[img]/images/graemlins/heart.gif[/img], 3[img]/images/graemlins/spade.gif[/img], 8[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(3 players)</font>
<font color="#CC3333">Hero bets $0.5</font>, <font color="#CC3333">MP raises to $1</font>, Button folds, Hero calls $0.50.

Villain seems like a good player. He is agressive and also calls raises preflop with SC's and calls bets when he hits flops but knows when to fold his worst hands.
I would normally 3-bet this also because i'm oop against a possible flushdraw (don't want him to get a free card on turn), but I flatcall because I want to checkraise him on the turn because I think he will still be betting even with a flushdraw.

Turn: ($2.67) A[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(2 players)</font>
Hero checks, <font color="#CC3333">MP bets $1.05</font>, Hero calls $1.05.

Not the most pleasant card, so now my plan is to flatcall and see if I have to call a bet on the river.

River: ($4.77) 8[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(2 players)</font>
Hero checks, <font color="#CC3333">MP bets $2.05</font>, Hero???

On the flop I put him on a Q, but I don't think he would bet the river, he would just check behind.