Add a jQuery snippet for sepcific user role

You should be able to use the admin_enqueue_scripts hook to load your snippet on the edit page as seen in this example from the codex

function my_enqueue($hook) {
    if ( 'edit.php' != $hook ) {
        return;
    }

    wp_enqueue_script( 'my_custom_script', get_template_directory_uri() . '/myscript.js' );
}
add_action( 'admin_enqueue_scripts', 'my_enqueue' );