My surname is Cooper. I am of course open to other suggestions. Thanks in advance.
Rose appears frequently because it's similar to Róża, the name of my (Polish) DW's beloved grandmother. Rose actually originates from a Norman name meaning "famous type" but was from an early date associated with the flower (thought that was interesting).
P.S. I realise that Rose isn't strictly speaking a diminutive of Rosalind but find "Roz" a little harsh.