To reorder your shipping methods in 2.6, you can use this snippet:

http://support.wooforce.com/hc/en-us/articles/208717129-Code-Snippet-to-rearrange-shipping-methods-in-cart-page

To find your various shipping option names that your site uses, look in your database (using phpMyadmin) at:
wp_options > woocommerce_shipping_method_order.

Here you'll find all your active shipping methods names.

(I recommend using the WordPress plugin called Code Snippets instead of editing your functions.php file all the time. https://wordpress.org/plugins/code-snippets/).