Party 25NL. KK OOP facing ugly flop

[payoff wizard]

Villain is 38/37/4.37, is capable of calling a large pre-flop bet with low SCs or low PPs, and will definitely over bet the flop if I check to him.

Party Poker No-Limit Hold'em, $ Hero (6 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

Hero ($43.96)
UTG ($4.69)
MP ($35.85)
CO ($25.85)
Button ($103.67)
SB ($24.80)

Preflop: Hero is BB with K, K. SB posts a blind of $0.10.
1 fold</font>, MP raises to $1.25</font>, 1 fold</font>, Button calls $1.25, i]1 fold[/i]</font>, Hero raises to $5.31</font>, MP calls $4.31, Button folds.

Flop: ($12.47) J, Q, A 2 players)</font>
Hero?????

Do I have to c/f or is there another line I can take?