Default ROM with USB debugging already enabled

I am looking for a ROM I can flash via ODIN and has USB Debugging enabled. It can be any android version.
The reason : my screen is totally broken (both LCD and digitizer). I want to use the phone as a security camera. However, to accomplish this I have to control the phone somehow. There is a way but it requires ADB access which I don't have since USB Debugging was not enabled before the screen broke, and I can't enable it now.
And in case there is such ROM but for CWM only, is it possible to convert it to Odin file?

Thanks a lot.
Nexus 4 16GB
ROM: Purity
Kernel: Ultimate Unleashed Kernel

Old phone: Samsung Vibrant 16GB