I finally managed to manually insert an Adobe Edge animation thanks to vivekuma and also by following this article. It seems I needed to change several paths in edgePreload.js and edge.js.
I am however facing a new problem... I created both a page and a header templates to load from the page so I can insert the <!--Adobe Edge Runtime--> content in the page with the animation only. I pasted the code just between <?php wp_head(); ?> and </head> tags. This loads the animation correctly, BUT it breaks the site's menu (it has a jquery effect) and a slideshow.
Is there a better way to run this script or to find out what's causing the conflict?