($22) ITM, Big Blind with KK, can I let em go?

Villain seems to be a decent player. He has been show down a couple weak hands earlier however. I have a tight image and have been playing nothing but solid hands.

PokerStars No-Limit Hold'em Tourney, Big Blind is t200 (3 handed) converter

Button :#A500AF(villain)/ (t5268)
SB (t3012)
Hero (t5220)

Preflop: Hero is BB with K[img]/images/graemlins/spade.gif[/img], K[img]/images/graemlins/club.gif[/img].
<font color="#CC3333">Button :#A500AF(villain)/ raises to t600</font>, SB calls t500, <font color="#CC3333">Hero raises to t1800</font>, <font color="#CC3333">Button :#A500AF(villain)/ raises to t3800</font>, SB folds, <font color="#CC3333">Hero raises to t5220</font>, Button :#A500AF(villain)/ calls t1420.

Could I honestly make a case for letting the kings go after
his reraise? That raise looks so much like aces. I didn't have the heart to let em go 3-hands though. Thoughts?