These sizes will make worthwile to try PreloadJS. Good luck with that.
I had another look at your page and discovered that something is terribly wrong. Even without calling the modals and iframes with canvasses, there are errors which turn up in the console of both Chrome and Firefox. They are related to createjs-2015.11.26.min.js and here in particular to a handler called handleComplete().
It must be related to the init(0 function in the published HTML page (out of Animate), This section:
var canvas, stage, exportRoot, anim_container, dom_overlay_container, fnStartAnimation;
function init() {
canvas = document.getElementById("canvas");
anim_container = document.getElementById("animation_container");
dom_overlay_container = document.getElementById("dom_overlay_container");
var comp=AdobeAn.getComposition("F6C6FBEA064539469E0855582BCA859A");
var lib=comp.getLibrary();
var loader = new createjs.LoadQueue(false);
loader.addEventListener("fileload", function(evt){handleFileLoad(evt,comp)});
loader.addEventListener("complete", function(evt){handleComplete(evt,comp)});
var lib=comp.getLibrary();
loader.loadManifest(lib.properties.manifest);
}
In line 10 is the handleComplete(evt,comp thing, whereby the evt is the completion of loader.loadManifest(lib.properties.manifest); and comp is AdobeAn.getComposition("F6C6FBEA064539469E0855582BCA859A"); . The loadManifest thingie is the manifest close to the end of the published javvascript file (out of Animate. Here in your case a few PNGs are listed. Not many actually. I can't put my finger on it what's wrong, but something is.
Maybe somebody else here in the forum knows.
I attach a screenshot from the console in Chrome from this afternoon.

Klaus