AK big stack vs big stack

[tdiddy]

UB sng down to 5 players 75/150 blinds. Me and another guy have around 3k and the others around 1k. We 2 big stacks been avoiding each other naturally. No stealing against each other. I'm in big blind with AKo and he bets the pot from CO seat. Folded to me. What do you do? Do you muck it here?

I thought I should muck but just couldn't stand it so I took the flop. It comes AKx rainbox. I couldn't bring myself to bet all-in for fear he had AA or KK and I'd be out after all that hard work. So like a chicken I check he bets all-in. I show and fold I just can't handle. He also had AK. Obviously if I'm gonna hit my hand and muck it I should have folded preflop. But I want to know if you guys risk your tournament on this hand here. Comments please.