With the use of YITH WooCommerce Catalog Mode, you can show or hide the price and/or “Add to cart” button for one or more products of your shop. If hidden, you can provide a form through which users can send possible requests.
You will only have to activate both plugins, and set them up as you wish. Using both plugins, the price and “Add to Cart” button will be automatically hidden also in the “quick view” popup.
For more information about the YITH WooCommerce Catalog Mode plugin, check out the full documentation here.