Brainstorming for solutions within established patterns (e.g. people, methods, space) can hinder you from coming up with the right solutions.
This changes when you design a playful process that breaks out of these established patterns and intrinsically motivates you to think of the right solutions.
Also, there is an option in which you do not even have to be involved yourself. Let complete strangers with a fresh perspective “play the game” and develop (un)conventional solutions to your challenge. These “citizen science” methods can prove to be the method you are looking for.