PublishPress Future Pro allows you to schedule changes to WordPress posts, including moving them to custom statuses.
In the screenshot below, we're using the bbPress plugin which has four custom statuses: Closed, Spam, Orphan, Hidden. Using PublishPress Future, you can set up an automatic action that will move this bbPress post to a custom status at a date and time of your choice.
In this next example, we have enabled PublishPress Future Pro for WooCommerce Orders. WooCommerce has a wide variety of custom statuses for orders: In Progress, Failed, Pending Payment, Processing, On hold, Completed, Cancelled, Refunded, Failed, and Draft. Using PublishPress Future, you can set up an automatic action that will move this WooCommerce order to a custom status at a date and time of your choice.