I rarely, if ever have a *source, but I spoke with someone yesterday who does transactional work for one of the local sports stations networks. The BE deal is of interest to them because they purchase lower tier games from ESPN or whomever and then air the game regionally.
This person told me it's unclear to most in the industry how much the Big East will get for it's contract; but almost everyone assumes it's going to be a split contract between ESPN and Fox Sports.
ESPN has taken an approach that they don't want anyone to have exclusive rights over any league (maybe they feel burned after the PAC12 deal?) , and FOX is looking for tons of programming for it's new channel(s).
ESPN meanwhile doesn't want a lot of games, just the "tier 1" matchups.
NBC isn't expected to even bid on the Big East's contract. They were slightly interested in cross promotion when we still had ND, but the reality is they want college football, hockey and major league soccer. If they were to have a big schedule of college basketball games that conference would be off the air for 3 weeks next February because they carry the winter olympics and NBC Sports is going to be a primary channel for that.
CBS Sports is seen as the wildcard. As of yet they haven't made it known in the industry that they want to make a big push for the Big East. But it's possible they could.