You have 2 plays post flop and either can be played here

Push all-in as a pot bet is about half your stack.

Check raise all-in on the flop. As The Button called for half his stack and they would surely push all-in to 2 checks in front of him.

Also as the big stack is still in the pot and you are out of position the check raise would also give you a chance to get away from it with your stack in tact.

Side note as it played the button should have gone in as well give his chance to triple his stack. If he had a hand to call pre-flop he had a hand to call post flop.