tickets for the saturday 'quarterfinal' round in madison have always been handled by the uw ticket office, and well before this. Even this year when it was doubtful but still possible for uw to be hosting, i got an email about a week ago telling me requests for tickets was open, etc. I signed up and got a confirmation (that will now go unfilled :-( ). By today, i'd be waiting for an email with the pdf ticket to arrive, or heading for the ticket office to pick up a ticket in person.
Also, for whatever difference it might make, you are not going to an ohio state game; you are going to an ncaa game being held at ohio state. Regular games at labahn are all general admission seating; ncaa games are assigned seating. Videos on the video board are ncaa videos. Etc etc.
Good luck with finding tickets. But it sounds like the ticket office has been asleep at the switch.