Stars $10 NL 250 players left - pays top 135 - facing reraise with KK

[WinBig]

$10 NL Tourney on Stars. 250 players left and it pays top 135. Blinds at 100/200 and I have about 8000.

A few hands earlier I raised it to 1200 from LP with 45 suited after a couple of limpers were in and they all folded. This time UTG table chipleader limps again for 200 and I raise it 1200 with pocket K's in MP. I think this is a good bet and might get a loose call from the big stack since he was one of the limpers a few hands earlier when I raised preflop. LP stack who has me barely covered reraises to 3200. What is my move?