@arktya sorry but there really is not. You need the screen to get a response, to get to the files and to move them from the Kindle. You need the micro USB port to connect to a computer. I understand that the USB port still partially works, just a bit temperamental. You may get away with leaving it just have to "play" with the cable. Replacing the screen is a bit finicky but I am sure you can get it done. Just look through the guide and follow the steps [guide|112821]
You got this!