I doubt there have ever been that many scenarios. The only somewhat similar year was likely 2008 - but then there were only eight teams so far less scenarios.
That year the standings going into the final game were:
T1 American 9-4
T1 Navy 9-4
T3 Colgate 6-7
T3 Lehigh 6-7
T3 Lafayette 6-7
T3 Bucknell 6-7
T7 Army 5-8
T7 Holy Cross 5-8
There was a chance on the final day that both Army and Holy Cross could move from a tie for last up to a tie for 3rd, since none of the 6-7 teams were playing each other. Could realistically have had a six-way tie for 3rd place.