NL50 KK on A high flop

[checktheriver]

Villain seems to call 3bets preflop a lot.
This hand happened not long before :

PokerStars No-Limit Hold'em, $0.50 BB (2 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: 2+2 Forums)

Button ($53.20)
Hero ($131)

Preflop: Hero is BB with A[img]/images/graemlins/diamond.gif[/img], T[img]/images/graemlins/club.gif[/img].
<font color="#CC3333">Button raises to $1</font>, <font color="#CC3333">Hero raises to $3.5</font>, Button calls $2.50.

Flop: ($7) 6[img]/images/graemlins/club.gif[/img], A[img]/images/graemlins/club.gif[/img], 7[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">Hero bets $4.5</font>, Button calls $4.50.

Turn: ($16) 9[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(2 players)</font>
Hero checks, <font color="#CC3333">Button bets $3.5</font>, Hero calls $3.50.

River: ($23) J[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(2 players)</font>
Hero checks, <font color="#CC3333">Button bets $10.5</font>, Hero calls $10.50.

Final Pot: $44

Results :
Hero has Ad Tc (one pair, aces).
Button has 8s 7s (one pair, sevens).
Outcome: Hero wins $44.

So basically here he takes the same line as his marginal hand before, the difference being in his bet sizing, and the board is much less drawy. Would you be inclined to think he has me beat this time ?

PokerStars No-Limit Hold'em, $0.50 BB (2 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: 2+2 Forums)

Button ($32.45)
Hero ($151.20)

Preflop: Hero is BB with K[img]/images/graemlins/spade.gif[/img], K[img]/images/graemlins/diamond.gif[/img].
<font color="#CC3333">Button raises to $1</font>, <font color="#CC3333">Hero raises to $3.5</font>, Button calls $2.50.

Flop: ($7) 4[img]/images/graemlins/heart.gif[/img], A[img]/images/graemlins/club.gif[/img], Q[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">Hero bets $4</font>, Button calls $4.

Turn: ($15) 2[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(2 players)</font>
Hero checks, <font color="#CC3333">Button bets $4.5</font>, Hero calls $4.50.

River: ($24) T[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(2 players)</font>
Hero checks, <font color="#CC3333">Button bets $15.5</font>

[People_Mover]

You should have shoved the turn in hand 1, but hand 2, I fold the river and wait for a better spot.