Loss of wireless network connectivity when playing video via HDMI cable
Solution 1:
Well, I solved the problem. It did indeed appear to be interference from the HDMI cable. The cable is plugged into the computer via a DVI adapter. At this point, there is exposed metal. I wrapped some aluminum foil around the HDMI/DVI adapter and a good portion of the HDMI cable itself, to hopefully shield the cable/adapter area better.
This seemed to solve the problem. Hopefully, this answer can be of use to anyone else who might run into a similar situation.