Project lines and points on komplex geometries

Good day guys,

I have a complex geometrie(rooftop) that I want to project lines and points only vertical on.

I tried two versions:

-Project the lines and points on mutiple breps.

-Project the lines and points on frames/planes(as seen in the picture).

Both didn't quiet work out as seen in the picture below.

My question now, is there a way to project those lines on such komplex geometries?

I have attached the Rhino file which showes the frames or breps of the geometries and also the suitable Grasshopper file.

Any help is much appreciated!