Necromancer! Yes. Last night, my necromancer managed to hit a Greater Rift level of 40 with the Trag'Oul's Avatar set. The night before, I managed to reach Greater Rift 30 with a Legacy of Nightmares set.
I have two to three pieces each of three other sets. I should be able to assemble another set and build in a day or two. It's great fun.