I was able to duplicate the addon to allow a second instance to run with its own settings:
Duplicate the folder “flat-rate-per-countryregion-for-woocommerce” and rename it to whatever. I chose “flat-rate-per-countryregion-for-woocommerce2”
Open woocommerce_flatrate_percountry.php in a text editor and replace the following
“Flat Rate per State/Country/Region for WooCommerce” to “2Flat Rate per State/Country/Region for WooCommerce”
frpc_active_nw_plugins to frpc_active_nw_plugins2
woocommerce_flatrate_percountry_init to woocommerce_flatrate_percountry_init2
WC_Flat_Rate_Per_Country_Region to WC_Flat_Rate_Per_Country_Region2
woocommerce_flatrate_percountry to woocommerce_flatrate_percountry2
woocommerce_flatrate_percountry_add to woocommerce_flatrate_percountry_add2
After bringing these changes, activate the plugin called “2Flat Rate per State/Country/Region for WooCommerce”.
You know have 2 shipping selections. Use 1 plugin for economy, the other for Expedited 🙂