I don't have the style extension so I cannot work with that, although that should make it easy.
I did come up with this using a C2 round. I am not sure which curve you want to follow (red arrow).
Also, what are you considering for the "saddle"?
Below is a boundary blend of the face; and a C2 round using a curve (circle) to follow.
What do you want to do with the square corners? This will create a crease. Can the corners have a round where it goes flat prior to corner?
