monitors become unavailable after blanking

My monitors become unavailable and hard to configure after blanking, or switching to a different input, let alone unplugging.

I can boot into 14.04 and do not see this problem. It is present in 16.04. I did not use the releases in between on this system.

It is a core-i7 machine, so the graphics is Intel and is on the motherboard. I'm using all three of the outputs provided by my Z97-Deluxe mobo. I have had to disable blanking because otherwise I will definitely have at least one monitor no longer active when I wake up the system. Getting it active again requires a number, at least 3, of attempts to "use this monitor" in the Display widget. plus un-mirroring and putting it back in its proper place.

This also happens if I switch the monitors to using another input, which I wanted to do because I have two systems and I'd like to switch the monitors between them. I'm having to use a workspace of ssh+tmux instances instead, which has some drawbacks of its own, but is at least workable.

ProblemType: Bug
DistroRelease: Ubuntu 16.04
Package: apport 2.20.1-0ubuntu2.1
ProcVersionSignature: Ubuntu 4.4.0-45.66-generic 4.4.21
Uname: Linux 4.4.0-45-generic x86_64
NonfreeKernelModules: wl
ApportLog:

ApportVersion: 2.20.1-0ubuntu2.1
Architecture: amd64
CurrentDesktop: XFCE
Date: Fri Oct 28 12:50:37 2016
InstallationDate: Installed on 2016-08-08 (80 days ago)
InstallationMedia: Xubuntu 16.04.1 LTS "Xenial Xerus" - Release amd64 (20160719)
PackageArchitecture: all
SourcePackage: apport
UpgradeStatus: No upgrade log present (probably fresh install)