Suggest plugin to request shipping quote based on customer location

Hi,

I am using WooCommerce. I ship my products to a few countries at a flat rate. But for many other countries, I don’t know the shipping rate. My product is heavyweight so FedEx kind of agency won’t suit my need.

Can you please suggest a woocommerce plugin, which can allow the customers outside my flat rate shipping zone to request for a shipping cost quotation.

In short, customers withing a flat rate shipping zone can check out without any hiccup. But the customers outside the flat rate shipping zone should be able to click a button to ask for a quotation at the Checkout page.

Thanks a lot!