Using the Contact for Shipping Quote plugin you can setup and/or require your customers to contact you to get a custom shipping quote based on their cart and shipping address.
After a shipping quote request is submitted, it will be available in the WooCommerce backend for the store owner/manager to review and provide their quote on it accordingly. The customer can refresh their order totals to get the quoted price and proceed to finish and pay their order with your custom quoted shipping cost.
