Hello Jeff, and thank you for posting to our community!
Our new WooCommerce REST API integration actually pulls your orders from WooCommerce, instead of our ShippingEasy plugin sending those form your WooCommerce store.
This means that you can specify which orders you want the ShippingEasy API to pull from your WooCommerce store, based on different order statuses.
You can specify which order statuses you would like ShippingEasy to look for in your WooCommerce store by enabling them with your WooCommerce store settings in ShippingEasy. The link below explains more.
For your specific situation, I would recommend disabling the 'On Hold' order status within your store settings in ShippingEasy, to avoid having the ShippingEasy API trying to pull those in.
Thank you and happy shipping!