I don't know if you have come up with anything, but I too am looking for Benzie relatives in Aberdeen. I have a James Benzie (1863-?), married Agnes Cooper (1864-?). They had at least 3 children of whom I am aware: Bella (c 1892-?), Elizabeth (1898-?), and James (c 1896-1960). This James married Mary Isabella Cooper (c 1902-1960), and I believe that they also had at least 3 children, one of whom was Albert, and I suspect that another of whom had been Helen.
Do any of these names sound like they could be a match?
What do you know about the Benzie families in Aberdeen?