So the athletic event I wanted to watch is not on WatchESPN or any other streaming service.  The college is streaming it on their web site, but I don’t want to watch it on a phone or tablet.

With a Roku attached TV, a web video can be “cast” to the Roku app R-cast. See R-cast Roku Streaming.  It is free trial requires restarting the video every 10 minutes, but includes all capability.