2h cold in general is meh, unless you got soulrend or Winter king. Soulrend is good for 2h reaper/spellbreaker and winter king is good for 2h tricksters. Much easier to do are 2h lightning and 2h vitality. You can use shaman for either and combine it with Inquisitor/Demo/Occultist/Soldier (lightning) or Necromancer/Occultist (vitality). I made a decent 2h vitality ritualist not too long ago: https://youtu.be/VuLQ6UsQVIs
Edit: Just saw your no items, no sets request: lightning shaman + 2h + primal strike works probably the best without any gear up to lvl 94 at least. Ritualist with 2h is ok, too, but would be a little more castery in playstyle with bone harvest and ravenous earth.