Hand of the week: Hero or goat?

If I'm being honest, I'd have to say I'm not a very flashy poker player. I'm not one to make a lot of hero calls. Come to think of it, I don't make a lot of hero folds, either. My poker motto would be KISS – Keep It Simple, Stupid.
That's why the hand which I've selected for the hand of the week (perhaps an odd title for a feature I'm writing every two months) is so unique. Facing an inordinate amount of pressure, I made the hero call for a massive chunk of my stack. Was I correct? I'll let you know in my next blog post. Feel free to analyze the hand or critique my play in the comments section below.   
THE SITUATION I'm playing hand No. 103 of a $30+$3 multi-table tournament on PokerStars. I'm the chip leader at my table, and among the top 10 per cent of the field, with a stack of 25,143. Blinds are 300-600 with a 50-chip ante.
MY HOLDING I've got Kh8s in the big blind.
PREFLOP ACTION Action folds around to the button, who has the third-largest stack at the table with 15,692. He min-raises to 1,200 total. I elect to defend my big blind with a call.
THE FLOP The flop comes down 6d 6s 8c. I check, my lone opponent fires a bet of 1,147. I flat-call.
THE TURN The 9s comes off on the turn. I check, opponent bets 2,400. I flat-call once again.
THE RIVER The 4s hits the river. I check a third time, and my opponent ships all-in for 10,895. I think about it for a while, and finally click the call button.
HOW WOULD YOU PLAY IT? I made the hero call, but was I a goat? All that was at stake was 60 per cent of my stack, in a tournament where first place was just a few pennies short of $1,200. I'll keep you in suspense for now, and let you debate my play in the comments section.