Loft/chamfer with splines

I'm really puzzled on how to tackle this problem. What I basically need is a chamfer with a variable length/angle, but the Chamfer tool doesn't seem to be the feature to use in this case. I'm guessing a loft is the way to go, but that doesn't work either.

I want to make a raised edge on this part. There is a single line that is off-set from the face. I want the raised part to always follow a line that goes from the outside edge to the raised edge, perpendicular to the raised edge. I can do this manually for the straight part, but that only covers a small part of the design.

Any ideas on how to tackle this?

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