Can’t speak on the Scythe but here’s banana_peel’s Cold Vire’s Might meme.
Cold Blitz has plenty of item support, it’s just that Shadow Strike or Bone Harvest are going to be stronger and more consistent. You’re right that Cold Vire’s Might lacks item support though, Alkamos’ Warsword doesn’t even support the offensive skill it features which I find odd. +4 to Vire’s Might and possibly Volcanic Stride instead of Ascension would be a big help to it.