KK in the big blind - facing a big raise

[cruiser]

Playing 1/2 NL online.
Dealt KK in the big blind. 2 callers to guy in mid/late position who makes it 30. Folded to me.

Question 1 -
1. fold
2. call
3. raise

(relevant stack sizes : me about 150, him about 250).

Ok - for the sake of discussion. I called. My thought process was (a) i was hoping to get at least one of the limpers to come along if I got a favorable flop and (b) i would make any move on the flop if I hit something.

I put him on a JJ - AA or maybe as low as AK, AQ.

Flop :
Q - 6 - 2 (2 diamonds).

Question 2:
check or bet - and if you check - how to handle his bet?

my course of action to follow.....