What scarf with a faux fur collar?

[LaserShark]

I have this coat which I love but can't work out what kind of a scarf I can wear with it? I love the big faux fur collar which feels very glamorous and I don't want to cover it up in a big woolly scarf. But it has quite an open front and I'm cold! Is there a nice scarf option which would keep me warm but fit with the style of the coat? I thought maybe a snood would work?

What did you decide to do?

None really. The only thing that would work would be a thin scarf folded and tucked in so it looks like a top.

I used to wear a black devore scarf with an open necked coat like that.
Because of the texture it stayed in place and was thin enough to look elegant.

I have a coat like that, if I need a scarf I wear a light weight pashmina type tucked in.