Sabrina is the only name that has Bri / Bree as a natural nickname IMO. Bri / Bree is annoying when it seems artificial, but not when it's for Sabrina.
I probably wouldn't use a NN, because I don't like any of the obvious ones.Shay, if I had to. Or ZsaZsa. Or something random that starts with S, like Sabe (the Spanish word), Séance, Sal, Sally, Sable...