The important question is whether it's just the display is dead or whether the touch function is dead too? Because if the touchscreen is operating you may be able to unlock it blind, if you can remember exactly where the keys/pattern dots on the lockscreen are.
Otherwise you might be able to do it if it supported USB OTG: I have recovered data from a phone in that state, entering a PIN using a USB keyboard (using cursor keys to select the numbers, practicing with a phone whose screen did work) and then further fiddling to pair a bluetooth mouse (so that I could drive the phone while mirroring the screen to a TV via USB). It took a lot of patience, but it was possible. However the problem here is in the words "if it supported USB OTG", because as far as I can see from some web searches this phone does not. And if it doesn't then you've no way of inputting any instructions to it if the touchscreen is dead.
Of course if the files are on a removable card then it's easy: remove the card and stick it in either another phone or a USB card reader. If you already have the phone set up for ADB and the computer pre-authorised you might be able to do something that way, but few people do. But if you have to unlock the screen to set anything up then you are probably out of luck unless you can get it repaired (without it being factory reset - official service centres tend to do that with all repairs).
What is the best possibility do do this?
