Villian is 65/5/??

After the flop re-raise, I put villian on KK or Kx with K3 or K5 more likely. I really didn't know what to do here.

PokerStars No-Limit Hold'em, $0.05 BB (6 handed) - Poker-Stars Converter Tool from FlopTurnRiver.com

MP ($3.90)
CO ($4.13)
Button ($5.51)
Hero (SB) ($5.37)
BB ($9.18)
UTG ($6.49)

Preflop: Hero is SB with A, A
2 folds, CO calls $0.05, Button calls $0.05, Hero raises to $0.25, 2 folds, Button calls $0.20

Flop: ($0.60) 3, 5, K (2 players)
Hero bets $0.50, Button raises to $1, Hero raises to $2, Button raises to $3, Hero ???