Looking at some NIT bracketology (LOL), it appears Seton Hall and Nova are just barely IN (around the 4-5 lines, and keep in mind 6-8 are generally auto bids).
NET obviously isn't everything, we'd be ranked a bit higher than our NET indicates, but just for reference: Seton Hall is #75, Villanova is #80, and St. John's is #97.
This means that even if we reach the FINALS of the BET that may not be enough to make the NIT, but beating Marquette (Q1) in the quarterfinals may at least give us a chance.
In other words: if we don't upset Marquette then the search needs to officially begin on Thursday at 2 PM (I assume it has unofficially begun already).