We had 4-6 inches of new snow in the Southern Sierra with this last storm that passed thru ("northern" exposures on the PCT had me "postholing" on the way to Morris on Tuesday).
I'd imagine Whitney got more than that, but wouldn't think snowshoes will do you much good. Just keep to the outline of the boot track if it hasn't been completely buried.
Last Sunday, I scrambled up the north side Wall Route, some on rock and some on snow. I could have stayed on the snow the whole way if I had wanted to.
I think (big question mark since I don't know what this last storm did) you'll be able to choose between doing the Ledges and staying low on snow.
Look at my "North Fork Recon" album for some photos from last week.