I am assuming you have not made a backup with backupmenu that you could revert to. Installing backupmenu and creating a backup archive is a good thing to go while your phone is still working correctly, even now I would suggest you try to install it and then reboot with the slider open, choose USB connect in from the backupmenu menu, if your port is not broken it will allow you to access your partitions even if you don't have a backup archive. Be careful though you will be able to mount yout WHOLE flash disk including root, not just MyDocs and SD card.

If you cant get USB mass storage working even with backupmenu you can still install ssh onto your phone and then use a program like filezilla to access your files via wifi SCP. It is just slower than a USB cable.