Actually, that's an amazing idea!! I've also thought about doing this in ‘real’ multiplayer (everyone on their screen and not only couch coop you know) and giving the other players a small pool of cards that they can play to the narrator, who then has to adapt to them. Maybe mix and match or cancel cards, etc. like you said.
what of a point system? some locations esp are bound to be harder, could show all the cards shuffled on the screen with points and they have to make their choices so they would all be selecting the cards at the same time to make their selection before someone else takes them but minimum of a location, situation\genre and 2 items.