Add a second shipping method to your Woocommerce site using bundle rate configuration.
For example, suppose you want to offer Express and Standard shipping rates, but use bundle rate configuration for both. By running this plugin alongside the Woocommerce Bundle Rate Shipping plugin, you can easily set this up.
This is a plugin that builds on top of Woocommerce Bundle Rate Shipping, allowing you to have two shipping methods that both use the bundle rate configuration method.
It will not work if you do not have Woocommerce Bundle Rate Shipping installed already: http://codecanyon.net/item/woocommerce-ecommerce-bundle-rate-shipping/1429243?ref=Studio164a