Replying to Where to ski in Arizona or New Mexico

So for spring break my friend, his bro, my sis and I are driving from MN and going camping in coronado National forest near Tuscan Az. I told him i wouldn't go unless we stopped and skied somewhere ive never skied along the way. Already planning on sand dune skiing in white sands national park in NM ha ha, and I was wondering about Taos NM,/ Snow-bowl Az/ sunrise/ Mt lemmon etc.. Gonna be there around march 20th, will there be any snow? where to ski? please give some insight