My precise answers to your questions -
# Are you saying that we can add snippets to the product posts?
= You can
# Are you saying that we need to transplant that information to a regular post or page in order to be able to use your plugin?
= No really necessary as our plugin works with custom post types as well.
# If we configure it on the product pages will it work?
= It will work
# We've also confirmed that it won't interfere with Yoast if we do it this way.
However, my expert opinion if you would like to know - Get rich snippets MicroData configured in WooCommerce Plugin This would require some customizations in the WooCommerce if they don't provide this as addon or as a part of their plugin; however this is what you ideally should do. :-)
Reasons for this recommendations -
1. It will protect the look and feel of your products page as our plugin adds a MicroData box at the end of each page where you configure it. This will not be done with what I have suggested.
2. You will not have to enter data multiple times - in wooCommerce and in our plugin input forms.
Hope my answer is helpful.
For other readers, the bottomline is All In One Schema.org Rich Snippets Plugin works well with WordPress SEO Plugin by Yoast.