Help to shrink wrap structure

Hello,

I am having trouble creating a surface fitted to a core structure that feels somewhat wrapped around the form.

I have searched this forum and have found a few examples but they are all outdated kangaroo files.

I have attached an example of the type of form I need the "shrink wrap" surface around because the original file was a complex and would have been very confusing.

Please help me out with it because I have been at it for days now with no luck.