I'm assuming your coil switch simply grounds out one coil.

By swapping the white and black you have merely changed which coil gets grounded out (red and green become ground).

Try flipping the red and white (assuming they are the end and start of the north coil) and flip the black and green.

If the green is the end of the north coil flip the green and white and flip the black and red. That way humbucking mode sohuld sound the same and you should get some noise cancelling with the 2nd position.