I'm not sure that this is a problem that is common - but my searches haven't found anything similar.
I can't seem to connect an external monitor to my fedora in fc24 anymore. I used to be able to connect my TV and projectors to my laptop, and since upgrading to fc24 (from fedora 21), I lost the ability to connect an external screen - essentially I see a lot of cross hatched blue stripes on the external device, or my screen freezes up.
One of my friends suggested switching to Gnome and trying to see if that works.
Here is some information I drudged up:
$ lspci -nn |grep VGA
00:02.0 VGA compatible controller : Intel Corporation Core Processor Integrated Graphics Controller [8086:0046] (rev 18)