First idea:
Maybe you could "play" with her original name.
The best example to give you is BanAnna's name (My schoolmates used to call me "Anna - Banana" too, when I was 6 years old
- coincidence??).
And if you haven't chosen her original name yet, it's even easier.
Second idea:
You could choose something that reminds a PC, for example Shift or DriveX (where you could replace X with the first letter of her name).
Third idea:
You could also try SysBD (=System BreakDown!!).
These are all the ideas I have.
Hope I could help you.
Anna_B.