Post [Q] Cracked screen and unauthorised adb

Hey guys, so here's the problem:

I own a nexus 4 and i cracked the screen, so the digitalizer doesn't work; it's not touchscreen anymore, but it still gives normal image.
I want to remote control it from my pc, but to do that i need to get into ADB, and this is not possible as it gives unauthorised access unless you confirm the access, which i can't as i can't touch the screen.

The only solution i could find was to buy a MHL to HDMI adapter cable which i dont want to buy. Isn't there another solution to bypass the unauthorised ADB?

Thanks in advance