First, I would keep the East. Plus the NFL is not going to move America's Team for playing games in America's most populated areas of NY, Philly, and Washington. Too much money and ratings.
However, since this is make believe, how about total realignment:
South- Dallas, New Orleans, Atlanta, and Houston
East- NY Giants, Washington, Philly, Baltimore
North - Chicago, Detroit, Minnesota, Green Bay
West - San Fran, Seattle, Rams, Chargers
South - Tennessee, Carolina, Tampa, Jacksonville
North - Cleveland, Pittsburgh, Cincy, Indy
East - NY Jets, New England, Miami , Buffalo
West - Oakland, KC, Arizona, Denver
This is my version of re-alignment without TV or financial considerations.