Constant kernel panics after macOS High Sierra upgrade

I have a MacBook Pro (Retina, 13-inch, Late 2013, 250 GB SSD, 16 GB RAM). I have experienced constant kernel panics after macOS High Sierra upgrade, from Sierra. (Under Sierra 10.12.5 the Mac was as stable as one would expect.)

In High Sierra the OS would boot and almost immediately go into kernel panic. I reinstalled the OS from OS X Recovery (having run Disk First Aid, which revealed no problem) and it worked OK for a couple of days.

I restarted (having noticed an odd behaviour in Contacts) and the problem recurred. Again I had a kernel panics 60-120 seconds after restart, or immediately the Finder started to load.

I again reinstalled the OS from OS X Recovery but the panics continued. I ran Disk First Aid again, which revealed no problem. The kernel panics occurred when booted in Safe Mode too. However, if I logged into a 'plain vanilla' user account the problems didn't occur. This would, I believe, indicate there isn't a problem with the hardware or RAM.

I suspected an rogue extension, and have been trying to uninstall apps that load code or extensions at startup, such as FullContact, Skitch, Yoink, CleanMyMac, and Things. To no avail.

I contacted Apple Support for advice on how to disable or remove other third party extensions but they said there was no method for doing this. They advised backing up, erasing the drive, reinstalling macOS, and restoring the backed up data but if the problem is extension-related it would likely recur.

The closest related post I have found is Kernel panic after latest osx Sierra update, but that only gets me so far. Any advice would be welcomed.