The phone is bone stock, no USB debugging, and has a word lock.
The first thing I will try will be to carefully use a USB-OTG cable and a mouse to unlock the phone, after printing a 1:1 copy of an s4 with swiftkey also installed to use as a general reference to where the keys are.
That is quite a long shot, so the other thing I thought would be to flash CWM through ODIN, boot into recovery, and now back to the title of the thread, will ADB work through CWM?
Using ADB, I will try and disable the lockscreen (although it is possible to push/pull, I need to read up on that) using, i believe, this guide:
If anyone can confirm this works, I will give it my best efforts.