This is one of those situations that only applies to big stakes players. With twelve thousand dollars on the line I might actually fold. Those are some deep stacks and why would your opponent bet that much if he only has a full house or a flush when he knows you might have the four of a kind with your pre-flop raise and that board with two aces. It's hard to imagine a situation where you would fold four aces but this might be it.

Another important question is how big is the bad beat pot.