So, the title pretty much says it all. Links are going to the archive for the custom post type instead of going to the post itself. Oddly, this is occurring only for one of the custom post types enabled on this site and it doesn't happen to the most recent post of that type. I've already rebuilt permalinks, cleared all caches (local, server, CDN), and checked for updates or issues in the theme in use. Thus far, I've had no luck in figuring out what is causing the odd issue. I've granted support access through WPMU DEV Dashboard.