At a casino I play at, sometimes when there is a mistake, they will allow everyone to play out the hand. If you lose, you push, and if you win, you win.

My question is, how do I devise a strategy for this?

Some plays are obvious: you still split 88 v. 7, double 11 v. 5, etc.

But what if I have a stiff hand? Should I double 15 v. 10? Or 5 v. 5?