You can run distributed stateful workloads on kubernetes with local storage and disable rescheduling when the node goes down. This means that you need to manually migrate/restart workloads if a node goes down. There is work being done on improving handling local node storage https://github.com/kubernetes/community/pull/306 but it doesn't scale as well as network storage.

If you have an existing SAN solution you can connect to it via fiber channel over iSCSI.