Helix Mesh Contours

Hello everyone.
I have created a mesh on Kangaroo and want to project or pull a helix contour on it. Unfortunately there is no direct process to, project curves on a mesh so I followed this topics.
Ref 1-Grasshopper project curves on mesh surface - #2 by dale
(This is not giving me a good pull of the helix curve).

Ref 2- Projecting helix onto baseball bat mesh - #2 by durucan.keceli1
(This gives the output but the turns cannot be increased)

Does anyone have a solution to create one continuous contour helix curve on a mesh.
Pot Design Spiral path 2.gh (401.5 KB)