Part of the problem here is naming convention. When you switch to static pages in Settings->Reading you can set both the "Front" page and a "Posts" page. The "Front" page response to is_front_page() while the "Posts" page (the blog) responds to is_home(). Carrington supports a 'home' context, but nothing for the front page.
simply adding a /loop/home.php will work for the "Posts" page, but this doesn't trigger on your new static "Front" page. To add a context for this, I created /plugins/custom_context.php with the function:
function custom_context($context) {
if (is_front_page()) $context = 'front';
return $context;
}
add_filter('cfct_context', 'custom_context');
Now that the context exists, I was able to create /loop/front.php, which would activate as expected.