looking for advice for a unique site structure

I’m hoping to use WordPress as the CMS for a site I am trying to build. The site is going to be a resource for educators and students containing archives of paperwork from historical Broadway Shows.

I am looking for a structure as follows, and I am not sure if I should use static pages, or some wizardry with posts. I am looking for a way to have a category be a child of multiple parents. WordPress seems to be the right tool, because of it’s ease of plugin intigration, and user management, But I will take suggestions on other CMS packages as well

Main site
– Home page with a brief description of the project, and a list of recently added documents (static page)
* About us page with a more detailed description of the goals of the project (static page)
* Registration page (static page)
* Index of shows
– Show 1 (should have a descriptive page)
* Drawings (defaults to show most important post with a list of posts in sidebar)
– Drawing Type 1 (post)
– Drawing Type 2 (post)
* Additional Preproduction paperwork (defaults to show most important post with a list of posts in sidebar)
– Document type 1 (multi page post)
* Page 1
* Page 2
– Document type 2 (multi page post)
* Page 1
* Page 2
* Production Records (defaults to show most important post with a list of posts in sidebar)
– Document type 3 (multi page post)
* Page 1
* Page 2
– Document type 4 (multi page post)
* Page 1
* Page 2
* Multimedia (defaults to show most important post with a list of posts in sidebar)
* Misc files (defaults to show most important post with a list of posts in sidebar)
– Show 2 (should have a descriptive page)
* Drawings (defaults to show most important post with a list of posts in sidebar)
– Drawing Type 1 (post)
– Drawing Type 2 (post)
* Additional Preproduction paperwork (defaults to show most important post with a list of posts in sidebar)
– Document type 1 (multi page post)
* Page 1
* Page 2
– Document type 2 (multi page post)
* Page 1
* Page 2
* Production Records (defaults to show most important post with a list of posts in sidebar)
– Document type 3 (multi page post)
* Page 1
* Page 2
– Document type 4 (multi page post)
* Page 1
* Page 2
* Multimedia (defaults to show most important post with a list of posts in sidebar)
* Misc files (defaults to show most important post with a list of posts in sidebar)