I like
Ginger, the name and the spice.
It's probably too great a stretch for you, but you mentioned
Ginger as a nickname for
Virginia and it occurred to me that most of the sounds are also present in
Iphigenia (albeit in a different order). Last I knew, you still didn't have a nickname for
Iphigenia you were thrilled with. I think
Ginger could work. :)