OP, I feel your pain. I ski mostly with buddies who share my love of speed and steeps, but when I do ski with my wife (intermediate), kids who are 8 and 10 and my mom (old) I have to dial it back big-time. Typical day at Taos for us = drop kids at ski school, ride lift 1 with wife and mom, ski a couple runs with them if not a powder day. Split up, hike and ski steeps, meet for lunch. Ski one or 2 together after lunch, then split off again. Grab kids a few minutes early, ski one T to B run with them. If you ask me, or any of them, we all skied together and had a great time.
When ski school is out of play, its a change in mindset. Making lots and lots of turns and just trying to see the mountain through their eyes too. Helps to enjoy and take pride in the progress they are making, which it sounds like you are doing. I wasn't hiking the ridge at Taos at 10, more like Chipmunk corner at SF for me at that age.
I lean more toward the nature awareness/mindful skiing enjoyment than PSIA continuous improvement, but everyone has different goals and interests of course.
Keep us posted with your progress!