Suggest a theme?

You could use just about any WordPress theme, and then just edit the ‘header.php’ file (within a child theme), and add the following code to this PHP file:
<?php
global $post;
$slug = $post->post_name;
if ($slug == ‘home’) {
echo do_shortcode(“[slide-anything id=’???’]”);
}
?>
Replace ‘???’ with the ID of your slider. You could place this just below the code that displays the Nav Menu, and will only be displayed on the home page.