Log Shipping back up location to a network share instead of clustered file share
Log shipping backups aren't anything special under the hood, they run an executable (sqllogship.exe) that fires off a standard BACKUP LOG. They can be configured to point anywhere the service account has write access to (and since this is a FCI, anywhere that is reachable from both nodes).

What's the point of writing these to a network share? Reduce the shared storage requirements (presuming there's no direct attached storage you can easily use)?