WooCommerce Orders On Hold
Orders On Hold is a checkbox in WooCommerce Advanced that puts orders On Hold.
Click the checkbox to override the default which sets new orders to a Status of Placed.
WooCommerce Ship Method
BigBusiness adds fields for 1 line of Ship Method with "shipping_lines/method_title".
Ship Method is not included in Automatic mappings. So, go to Connect toolbar, Woo, select an import, highlight entries on left and right, click Insert and then click Save As.
After saving your mapping, use it in the Woo tool for importing batches or select it for Import Orders in WooCommerce Settings to have it run when using the Auto-Connect.
Orders On Hold
Orders On Hold is a checkbox in WooCommerce Advanced that puts orders On Hold.
In theory, this checkbox can be added to your choice of import(s) such as those from:
Auto-Import (for files), Any API (for custom), BigCommerce, Ecwid, Folder Connect (for FTP), HubSpot, Shopify, Square, Volusion, Web API (for HTTP), and Wix, as well as database connections such as for FileMaker, MySQL, Postgres, and SQLite.
Note there is also an import option for Status that lets you import "1" to set On Hold.