Looks almost impossible...go by numbers (Quadrant 1, Quadrant 2, etc or by name of top seed...Messiah Bracket, etc)...OR
New England/New York
Mideast or Midwest/Southeast
West or West/North
For the women...
Northeast (or New England)
An alternative to the using names of top seeds suggestion would be to use the region of the top seeds as the name...
Back in the old days the NCAA bball tournament used to be East, Mideast, Midwest and West Regionals (and maybe it's still like that)
Mideast? Mmmm. Might have to use that. I used "Transcontinental" one year to cover a quadrant that had a broad geographic mix.
Here is what I was coming up with before looking at the responses here . . .
Oneonta-F&M-Brandeis-St. Lawrence (top left): ATLANTIC or NORTHEAST
Wheaton (Ill.)-Wartburg-Loras-Trinity (bottom left): MIDWEST or CENTRAL
Messiah-Cortland-Wheaton (Mass.)-Muhlenberg (top right): NORTHEAST OR ATLANTIC
Kenyon-Calvin-Emory-Chris. Newport (bottom right):
Messiah-Nazareth-Lynchburg-Montclair St. (top left): MID-ATLANTIC or EAST
Wheaton (Ill.)-Chicago-Washington U-Lake Forest (bottom left): MIDWEST or CENTRAL
Carnegie Mellon-Johns Hopkins-Trinity (tx.)-Thomas More (top right):
Williams-MIT-William Smith-Misericordia (bottom right): NORTHEAST OR NEW ENGLAND