Is it Android? If so, I'm pretty sure there a pc program that lets you control your phone using your mouse, its what I used for my shitty phone that had a broken digitizer. And I pulled all my files using adb.
Yes, I know. I've been doing that kind of stuff ever since Android 1.something, but it sucks cuz my phone's the one device I take everywhere and can go online anywhere x.x.
Damn.
I have plenty of old Nokias laying around, but.... I love my Nexus 4... I've ordered a digitizer, but it should take a while to arrive x.x