Do you mix up your raises or just 3x BB each time? Seems too small in this case. Was the plan to check to any, one or two overcards? A larger raise pre-flop and you have more chance of repping the ace and taking the pot down.
I gather you play a lot of tournies, more than me, but in this situation, I would make a small raise on the flop because people often assume that I think I have the best hand and am trying to get more chips in the pot and fold either then, or call and fold when I push the turn. However, this sort of move depends on table image and yours may not suit.
The check raise is a bold move but one that could be worth a try but it depends on how much your short stack is going to hurt their big stack and how much a call by the button is dictated by their fear of a call by the sb. The problem is that button makes that move with any king or ace and if the sb folds and your stack is 1/3 or less of theirs, they are calling your push.