Hi @charlesg
For something like that, you can try this tutorial: https://www.advancedcustomfields.com/resources/creating-wp-archive-custom-field-filter/.
That tutorial uses the select field, but you should be able to use the post object field too. Also, please keep in mind that you need to modify WooCommerce archive page instead of the standard WordPress archive page.
I hope this makes sense 🙂