Have you considered those bags that bedding come in? I use them all the time for my scraps. They usually have a handle so carrying them is easy and there are some that are divided (usually two sections) which would allow you to do some sub-organizing there. For example, I was making a lot of crumb blocks last year - in one part I put the completed crumb squares along with the partially pieced ones, and then all of the crumbs went in the other. I haven't looked at it in at least 8 months, but I know where everything is still. :-)
With the list of "stuff" you want to have available for your project, you might consider a couple of these bags - you could even put one (maybe the one with tools and/or papers) inside the main one. Just some thoughts. Good luck to you!