Default Recovering Data off the phone?

Hi,
My old phone, a Droid RAZR MAXX HD, is busted. When I connect it to my PC, the notification light turns solid green, but the computer won't recognize the device! I do not have a working screen for the phone, and all I want to do is get the data off of it. The boot loader is unlocked, and I had TWRP installed. The latest Motorola drivers are also installed. Does anybody know if there's a way to get everything off of it?