Interesting suggestion! I hadn't thought about Chromebook as a platform. Information about distributing Unity games for Chromebook seems a bit sparse, and what I'm finding is discouraging - do you have any tips on where I can find more information?
I found this coding page it will allow you to upload it on to the chrome store.
It doesn't look like that will help, unfortunately. That's an IDE for coding web apps from scratch - at present, I don't see myself re-coding the game and all of the Unity engine features I'm using. ;) I'll keep looking into other options.