Hi Sarah,
I have a mink girl, Maple - this is she:
The pic doesn't show off the two-tone colour very well; she has a lovely bronzy sheen over her coat.
Genetically, Mink is a combination of Cream [ee], Cinnamon [pp] and the dominant Umbrous gene [U-]. The Cream gene gives an all-over colour; the Cinnamon gene makes it orangey, and the Umbrous adds the brown highlights. The eyes are darkish red due to the Cinnamon (pink eyed gene) but darkened by the Cream and Umbrous.
It is a very attractive colour, which is why Maple is my only pet-shop hamster!
As to the coat, some Rex hamsters don't have a very wavy coat at all, and the only real way to tell is if they have curly whiskers. Forte is my black Rex, you can see in this pic how crinkly his whiskers are... the curl right round towards his nose.
Carrying the Rex gene probably doesn't affect a hamster's coat; they need two Rex genes to be a Rex, and if they only have one, they will appear normal coated, so you either have a Rex or you don't!
Do you have piccies???