SU would have to essentially lose out to miss the NCAA tourney this season with no IVY and the B10 being a 2 bid league barring a conf tourney upset which seems unlikely as Maryland is just way way to good at this point.
The Big East is likely a 2 bid league if G-town keeps beating everyone but Denver. Denver does have a bad habit of being upset in the tourney but it seems highly unlikely a team outside of Denver or G-town would win the Conf tourney.
The on potential problem is the Patriot, however, it is likely those teams will continue to beat each other up. Loyola is 5-3 and while they did beat Navy last week still has to play Army, Navy again and G-town. Navy lost a bunch of games due to COVID and hasn't beaten anyone with a pulse yet. They have Lehigh, Loyola and Army coming up and then Lafayette. They probably have to win out to have any real shot at an at large or at least 3-1 with a good size tourney run. Army and Lehigh both appear to be in good shape for an at large. Army has Loyola, Boston U and Navy for its last three games. Lehigh's schedule hasn't been overly difficult but they did beat Loyola and Army. They have 5 game left but the only one with consequence is Navy this Sat and to a lesser extend Nova at the end of the season.
From an SU standpoint I would continue to root for Army and Lehigh to pile up the wins while Navy and Loyola fall to the side. SU would also do well to pick up a few wins itself and it wouldn't be the worst idea for SU to schedule another mid-level game with a team like Hobart who should be a top 20 team and was begging SU for a game when the season started.