A friend was able to get a room for one night for this weekend but it is at the Extended Stay America in Goleta (10+ miles from downtown but only about 3 from the Goleta Amtrak Station).

You might try the El Prado Motel on State Street. They sometimes have cancellations and have been more flexible in the past when we've tried booking people in. It's about five blocks up State from the center of downtown.