I went to college a mile away from the US Capitol in Washington DC and I have to tell you that east coast and college football is nowhere near as popular as college basketball or baseball. However, Norte Dame only has 2,000 more students and BC has just over 14k students compared to Nova's 9,500 students. A move to FBS ball could mean at least 1,000 more students for that school and VU's nearly $52k per year charge for students would mean an extra $52 million per year to the school which is not small change.
Private schools also do not face the same kind of scrunity that public schools get when it comes to money for athletics (hey I went to private school myself) and the donations to private schools seem to be higher than public schools.
The only issue is how much support the Wildcats will get and if they can meet the NCAA attendance requirements for FBS ball. There is also the fear of being kicked out of the Big East (related to the rumored Big East split between the football and non-football members) that could force VU's hand.