Adapt a 2D mesh to a geometry via Hypermorph

I have two files, a geometry file (.step, solid) and a 2D mesh file (.stl). I want to fit the existing mesh to the geometry, because I want to be able to choose elements via surfaces. So I tried to map the elements to the geometry via 'Hypermorph --> map to geom'. I selected 'map to surfaces' (.step file) and 'map elements' (.stl file). I tried all options for the orientation, but non of these

resulted in accapteble solutions. The goal is to achieve a mesh, which is orientated ot the surfaces of the .step file, but without remeshing it.

 

I attached both files and the hm.

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