Typically Taos in April highs are in the low 60's, lows in the 30's. There can be snow, but usually very little, if any. We live in Santa Fe, which is lower, and I keep my snow tires on until mid-May. Some years I need them until then, some years I don't.
I should have asked what you meant by dicey. Too cold? Or not enough snow to ski?
My sister and brother in law were supposed to come visit in April this year. That didn't happen. Good thing it didn't as we had a huge snow dump one of the days they were going to be here. The snow was gone by the next day, but it still would have knocked a day out of their trip. Also, it can be windy in April. I mean, we live here and we just go with the flow of the weather. I'm not sure you could pick a month when there might not be some unexpected thing happen.