How to diagnose a white-screen-of-death by moving kexts/plists/etc
Try running EtreCheck. It will provide a lot of useful information on the configuration of your Macs (including a list of the kernel extensions, launch agents, launch daemons, etc).

If you need more guidance you can copy and paste the output from EtreCheck into a  Gist, add a link to the Gist to your question above and I'll update my answer.