I just tossed this around in my head because watching DOND w/this twist is still the same ol' DOND except the ending:
Both contestants are backstage with Howie; each contestant chooses from one of three cases with their respective numbers inside. The contestants open the cases and the higher number gets to choose whether to play first or second.
Playing second has this advantage: the second player gets to know the first player's offers but not whether they Dealt or Not. This would mean the player going first would play through the entire game regardless of where the first Dealt (i.e. the postmortem "If you had said No Deal..."). This is to readily compare offers in case the second player goes all the way in normal gameplay.
The catch is once the second player Deals, they no longer know what the other player was offered. I was thinking of the potential dramatics of a contestant mulling over "what could have been" should he or she Deals Too Soon, dealing on a early suboptimal offer.
At the end of the second game, the first contestant comes out and do the big reveal like always during these occasions.
I am not going to pretend that I'm a game format expert or an excellent TV producer; this is all just to spark some discussion. There are likely many holes in this idea (e.g. the choice to go first or second is unnecessary).
