OK, solution so far.
I replicated the problem today (dx11, film on, fly for more than a couple hours). (Temperatures were fine.)
Turning film off did not solve the problem.
Alt-tabbing out of the software and going back in did not solve the problem.
Exiting arena and going back in DID solve the problem. My suspicion is that the game exists full-screen mode and clears various caches, buffers, etc.
Next, I will try running dx9 and see if the problem still appears.