Yeah man,
For the exposure/white problems, I would try a polarizer filter, that should really help keep the snow from glaring the sunlight into the camera (may cause the over-exposure, since you probably compensate with a higher ISO/lower f to light up the subject but that also causes the snow to look over-exposed), and it will help out with the color issues too
As far as the 60fps, for the shots that you don't want to slow down, use 30fps (it is especially good for sports and quicker moving footage) and won't give you that ghosting effect, if you do use 60fps, you'll want to slow those down, around 50% (since 60 is twice 30).
I like to use 60fps and just slow it down, it makes the shots look smoother and sound doesn't usually matter in edits, but that being said, don't use it too much, too much slow motion makes the whole edit seem unreal and can also cause it drag on and lose dynamics. You'll start to get an idea for what you want, but it really helps to plan out what shots you want to get for a day of footage, that way you can plan what settings you're gonna use 60fps vs 30, and such.
I hope all that helps, lemme know if you have any questions and feel free to pm me.