I think names like 'Private Reflections' or 'Exclusive Recollections' are good choices. They convey the idea that these stories are special and kept within a certain boundary. Maybe 'Hidden Treasures of the Mind' too, as it implies that the stories are valuable but hidden away.
Well, 'Secret Narratives' or 'Confidential Journeys' would work. They imply that the stories contain something not meant for everyone to know. Also, 'Personal Enclaves' suggests a protected and private space for the stories.