Actually her hair look like Platinum Blonde in the animation and Titanium Blonde int both production images.
You might want to go with Ash Blonde instead for a bit more color.
I might look cool tone if your on a PC monitors as they are always calibrated to cool instead of a retina displays or MAC's.
There no green to me on my MAC.
The the cones you can make them out of foam or a pillow in a cone shape. Both need to match your wig colour before adding the fiber.
I would sew the cones down to the wig. For the foam version you need to make channel to sew through prior to adding the hair and using glue to harder that sections.
You can also glue them down to the wig.