Hi Kevin,
I would use network here, the problem is you have to separate your curves like in the picture, each colour represents a seperate curve, seven in total.
You would then network the top skin first, then the bottom one ( or visa versa it doesn't matter) then use join to sew all the surfaces together.

Top skin, pick lines, green, orange, cyan, yellow and Magenta then Network.
Bottom skin, pick red, orange, cyan, blue, magenta then Network.
Then join all surfaces, done.



Cheers