Among us RPG idea

Okay, I know, kind of weird.

Here, let me explain.

The GM knows who the Imposter is. The Imposter knows who they are (hopefully). The Crewmates know they are crewmates and that’s it. I’m thinking an entire roleplay scenario where tasks are divided out to all players and are completed however the player deems fit.  Whether that’s together or by themselves is up to them. The GMs duty is to manage tasks, orchestrate events (like normal encounters in any RPG), control NPCs and write in the Impostures actions. So here's what I am thinking…

Everyone has to converse with the GM secretly. Think group chats but only the GM can see. The players can either announce what they are doing to others or keep it to themselves, or lie. Depending on the actions they want to take, the GM can ask for an ability roll check, just like any ol RPG to see if they succeeded or failed. 

I have NO idea if something like this would even work in an RPG setting but I am so down to try it and flesh it out. I am curious if anyone else has any ideas how to make this a reality or if it's even interesting enough to pursue. Let me know in the comments!