Default HELP! Another broken screen dilema.

I have an Xperia Z with a completely knackered screen, no display at all. Is there any way I can get the personal data off this phone? It has the pattern screen lock so the USB otg option is a no go. Can I restore without deleting the data?

The phone has taken a beating, the back and casing is also damaged so I couldn't guarantee changing the screen would work although it seems to function normally. Shuts down with power button and vol up with 3 vibrations and starts again ok, can access it via PC but not any of the data due to the lock screen.

What are the option for data recovery if the phone is dismantled to access the storage?