Hi @mako2
If the characteristics you are referring to are attributes of a variable product, then you can create a custom URL to add the product to the cart. This process is explained in the following post (you’ll want to use the one that explains how to do this with Variable Products):
https://www.businessbloomer.com/woocommerce-custom-add-cart-urls-ultimate-guide/
We haven’t heard back from you in a while, so I’m going to mark this as resolved – if you have any further questions, you can start a new thread.