Hi Bravlin, sorry no you can't accurately build a surface that passes through several interior non-isoparam curves like that, other than the full vertical alignment case.

The main way to do it would be to approach it how you would have wanted to model it originally which would be to have your pieces here as an extended base that has flat ends:



Then you would make your bendy front face as an extended surface shaped how you want and then trim or boolean difference your base piece with that forming new edges where things intersect each other.

You want the edges you're trying to fill to be formed by surface/surface intersections, not by keeping them and trying to build a new surface that has to pass exactly or very closely to all of them at the same time. You can do that if all the edges you have to pass through are a 4 sided region so you could use Network but not when they are in the middle of the surface.

- Michael