How send users direct to "Add Media" panel?

I want users to create a new post and upload images to that post, without doing anything else and without having to manipulate the editor and the admin interface. I then look into the data on the images and present the result in a way they can share with their contacts.

I’ve tried to use front-end plugins but the result I obtained wasn’t satisfactory:

• error messages if more than a dozen files, interface less intuitive than the editor.
• I don’t get the elegant progress bars as in the Add media box.

I thought I could point the user directly to the “Add media” window of the editor, but the Add Media button points to the same url as the editor page. I imagine clicking the Add Media button triggers javascript to show the Add media panel, but I could not find where the code starts to trigger it automatically.

It’s annoying: the code is there in standard WP, but I can’t plug it in where I need it. Surely there must be a way?