Another option could be 'Intimate Narratives'. This name implies that the stories are something private and close to you, and it has a bit of a mysterious and alluring feel to it.
You can use 'Snap Highlights'. This name indicates that the snaps in the story are the best or most interesting parts of your day or an event. Another one is 'My Snap Recap' which implies it's a summary of things you want to share through snaps.
You could call it 'My Daily Adventure'. It gives a sense of something exciting that happens every day in your life and is shared through the snap story. Another option is 'Moments in Time' which implies that it's a collection of special moments you've captured.
For a travel journal private story, 'My Solo Travel Escapades' could be a great name. It clearly indicates that it's about your personal travel experiences.
Sure. 'The Christmas Carousel'. It makes you think of the joy and circular motion of a carousel, which can be related to the recurring themes of Christmas like love and giving.