Fate as in the colour of Red (Akagami no Shiryukihime)

What if Shirayuki never lived with her grandparents and stayed with her dad. What if Prince Raj never knew about her till in the future while visiting Clarines. And she and Prince Zen meet in a different way and still fall in love with each other while her hair gets her kidnapped like maybe 5 times? A new story with a little twist and Romance.