The FBS schools currently in the Big East don't have a name for the conference they will play in next season but they do have a TV deal as ESPN announced it has reached agreement to televise football and basketball games.

Here are the highlights courtesy of the release sent out by the conference

Nearly 90 percent of the games will be carried on national broadcast or national cable. The minimum number of telecasts collectively on ABC/ESPN/ESPN2/ESPNU will be higher than the number of telecasts in the current contract, which expires at the end of the 2013 season.
The conference championship football game, which is expected to begin in 2015, will be carried by ABC or ESPN on Championship Saturday.
In men’s basketball, all conference controlled games will be televised. More than 63 percent of the games will be carried on national broadcast or national cable, which will be a minimum of 107 games. The entire conference postseason basketball tournament will be on national television.  The championship game will be televised on ABC or ESPN.
In women’s basketball,.nearly 60 games will be televised on national cable, regional sports networks and ESPN3, including the entire women’s basketball postseason tournament.  Eighteen regular-season games will be televised nationally. The women’s basketball tournament championship game will be on ESPN or ESPN2.

The current ESPN deal with the Big East expires after the 2013 season.