Not sure I really understand here Pat - You have the Contours and you say that they are defining a Plane - well if that is the case - you can use the contours to elevate the line - OK in the corner the contours change shape - so there is no plane there - are you saying that that is what you want to change? If so then elevate the line where you have contours and then elevate that point using Edit Linestring, Vertical - Inbound or Outbound Slope along the line - selecting the slope of the line between 2x contour elevated points where the contours do form a Plane with the corner point where you have a spot elevation - that should work and be pretty straight forward
Am I missing something here?