$60 - Bubble Decision Thought Process

[jnfpoker]

PokerStars Tournament, Big Blind is t200 (4 handed) Converter on pregopoker.com

CO (t5370)
Button (t2370)
SB (t3300)
jnfpoker (t2460)

Preflop: Hero is in BB with A[img]/images/graemlins/diamond.gif[/img] K[img]/images/graemlins/club.gif[/img]
<font color="red">CO raises to t600</font>, <font color="red">Button raises to t2200</font>, <font color="gray">SB folds</font>, <font color="red">jnfpoker raises to t2460 (All-in)</font>

My thought process during the hand:
I believe the CO was trying to take advantage of the fact that we were on the bubble and made a 3x BB raise. My intuition tells me that there is a great probability that the CO will fold to a re-raise by any player left. Once the button raises ALL IN and the SB folds my thoughts become contradictory. If I call I am probably a coinflip against the Button's range. Then, I said to myself, if I call and the Button does have me beat, the CO raiser could call behind taking us both out giving me 3rd place.

As you can tell, my thought process during the hand is very cloudy, even amateurish. I rely on my experience and intuition in many situations and am unsure how to attack this mathematically. How can you accurately put an opponent on a range of holdings?