You could go for something like 'My Secret Moments' or 'Private Adventures'.
You could name it based on the main theme or event in the story. For example, if it's about a journey, call it 'The Unforgettable Journey'.
You could go for something like 'My Secret Snap World' or 'Snap Tales of Me'.
First, consider what makes this snap story unique. Is it a place you go to be alone? Then 'My Private Retreat Snaps' could be great. Are there certain emotions you're expressing? If it's about relaxation, 'Relaxing Private Snaps' is a possibility. Also, you can play with words. Combine 'private' with something that represents you, like if you love nature, 'Private Nature Snaps'. It's all about making it personal and private.
A name related to the content of the private story would be good. For example, if it's about your travel dreams, 'My Travel Wishlist - Private'. This way, it gives a hint about what the story might contain while still keeping it private.
Personal Chronicles. This name gives the idea that it's about your own personal stories that are only for you or a select few. It has a bit of a classic and timeless feel to it.
Hidden Gems. It implies that the content in the private snap story is something special, like precious gems that are hidden away from the public eye. It could be used for snaps that include unique memories, private jokes, or exclusive events that only a select few are supposed to see.
Sure. In Snapchat, privacy is customizable. For a completely private story, you can choose the option where only you can view it. This way, it's like a personal journal within the app that no one else has access to. It gives you the freedom to create content that is just for you without the worry of others seeing it.
How about 'Behind the Lens'? It implies that there are hidden or unseen aspects of your life that you're sharing. Or 'Snapshots of Me' which focuses on it being about you and your experiences.