I'm with the other composters. In terms of the bin what's the big rush? If it doesn't "cook" as soon as other material just toss it back, it will break down eventually.

But yeah, this is a personal pet peeve, we are supposed to be the ones who love the outdoors yet our trails, even organized events are surprisingly littered with organic and inorganic gunk. There's even been an Everest climb just to clean up the trash:

http://news.bbc.co.uk/2/hi/south_asia/4672545.stm