Wow! This is such a brilliant yet ambitious idea. This would fit in perfectly to the game jam. Just make sure that you get the base of the game done first before you start the mini game so that if you run out of time it won’t be as much of a problem. Other than this I think that you have a great basis to start creating. Your next step is to get going! (Also, make sure you explain this backstory in the game.)
Viewing post in Endless Perfecting (My idea as a new video game writer.)
To be honest, and I say this with complete and utter humility, I have no experience developing games. When I refer to myself as a "game writer," I really mean that I'm more focused on developing narratives in games than on the games themselves. Once again, I'm embarrassed to admit this, since it limits my real contributions to these kinds of projects vastly. I am, however, more than willing to work with any available resources (there's a first time for everything, and all that) or collaborate with someone more experienced than I am to develop a game like this.