It's been a few years since I was there last but Kachina will definitely fill your "steep" requirement. I wouldn't bother with skins. You can hike up to the first part of the ridge in ten minutes or so as I recall. There's usually steps kicked into the steep part. There's also some good runs on skier's left through the trees off of lift 2.
When it has good snow, Taos is a great mountain. Lots of good bump runs on the face. It'll be interesting to see what effect the snowboarders have had on them.
Hope you get some deep!