You can check out the link below although most of these options are already known by freepers such as Direct TV, Sling, CBS (for a fee), Playstation, and Digital Antenna.
The one at the bottom says there is a white house stream which should be free.
https://www.cutcabletoday.com/inauguration-live-stream/
Look, even the government is getting into cord cutting! The White House is holding its own live stream of the ceremonies on both its official .gov website and on YouTube. While I cant speak to the sort of coverage and commentary it will offer, its a free way to watch Donald Trumps inauguration online.
I watched the entire concert tonight on OAN ... One America News on KlowdTV with very little interruption. I imagine they will carry the inauguration also.