Ok, so here is my idea.
When a HIT comes, it will trigger an event that will give someone else in break a chance at a hit. The person that got the HIT will not be eligible.
We will random a name from the rest of you in the break. I will then show you a card that is yours to keep, OR you can choose to take what is behind door 1, 2 or 3. They could be better than what I am offering, or worse. That person that wins the random hit will not be eligible for the next random hit. Everyone is still eligible for the free pack at the end though.
Sounds fun? Might just take me some time to get the programming done.