Then the file must be delivered. It's just a matter of logistics. Here we could use more computer automation. A label and perhaps bar code could be printed right on your newspaper, making it easy to track and get your paper onto the right truck at the right time. Sure, this concept might be expensive to get started, but it strikes me as completely doable.
Newspapers are resistant to change.
The people work under incredible deadlines and depend upon a regular, repetitive routine to get things done and not go insane. No, I doubt very much that any existing paper will try this. It might be a smaller, struggling paper, who sees the writing on the wall and wants to move into the future. Perhaps not everyone, and the concept might take time to catch on, but if done right it would be successful. People in today's high-speed world don't have time for the massive newspapers of generations past.