How do I create a simplified 'final' vector from a complex vector illustration?

I have created a vector illustration that includes 3D, masks, and a lot of hidden geometry. I would like to turn it into a simplified version that only includes the geometry that you see. How do I do this?

I've moved it all to one layer, expanded and outlined everything, and grouped it all together but there are still a lot of unseen "hidden" paths that make the file unnecessarily large and could cause problems if I wanted to have it laser cut or something. 

How can I simplify it so only the visible geometry exists? (I tried the trim tool but it released a clipping mask still present in the object and didn't remove all of the unseen paths anyway.)

The only way I can think of would be to export it as a png and then image trace that. That method would probably not be as accurate as I want though.

I've included two screenshots. The first is the image as it appears. The second is the image selected so you can see all the unnecessary paths.

I hope my question is clear. Thank you for your time!