Drawing/extruding on wing surface

Hello Forum users!

I'm new here and I hope you've got answers/solutions to my question!

As you can see below, I drawn a wing (first picture) and I want to add rib tapes on it! (second picture)

First I tried it with "wrap" function but he doesn't see the surface as a face. (because I think, all sketches I used for the wing, are made out of spline lines)

I've also tried to insert it as a separate part (next picture):

But not happy with result:

Someone suggestions, remarks, other ideas??

Thanks in advance!!