577 votesAnonymous commented
I have done this using woocommerce override structure. Changing all the 'order' text to quote and remove all pricing.
I uploaded the changed plugin and installation instructions to https://github.com/selloutdesign/woocommerce-quote-cart
Please let me know what you think. There are a couple more changes to be made I am looking for the function that displays the body of the table for the products in the emails to remove the pricing column. I used css in the template editor to hide prices, and a couple buttons. hit me up on git hub if you have any questions.