honestly im not too fond of that idea, theres good intentions but we have no idea what the author wants/wanted to do with the story, it seems kinda disrespectful and not to mention theres probably no way to get permission to do it.
The best option in my opinion would probably be to write about it on Tumblr or AO3 and see if anyone has fanart or fanfics to help fill the "craving" for the next chapter.