I agree with DusX, the best way is to copy the entire Scene over.
Snapshots are unique to the Scene in which they're created because they store the values of the actors' inputs in that specific Scene, so there's no mechanism for porting Snapshots from one Scene to another (which is essentially what you're asking) because Snapshots were never intended to be moved between Scenes.
The closest I can come to explaining this more understandably is this process:
Imagine you've got two copies of the same book.Now you highlight a sentence on a specific page of the first book.If you wanted that same highlighting in the second book, you'd either need to use a highlighter to reproduce the change in the second book, or you'd need to rip the page out of the first book and use it to replace the same page in the second book.Not a perfect metaphor, but it's the best I can do.