I attempted a cut-short attempt at hiking up North Dome's backside. The Copper Creek trail seems to provide a good start, you get a lot of good switchbacks which make it easy to get to around the 7000' level. At that point, you need to leave the trail and head west, probably making your own switchbacks as you went. Unfortunately, I started my attempt around 5pm, and had to give up early since I didn't want to camp on the side of the mountain in my shorts. :) Next time, I'll get a real route for all 3 of us that are climbing impaired!
By the way, if you stay on Copper Creek trail, it eventually goes straight north past Mt. Hutchings for about 20 miles, so you definitely have to leave that trail to get to North Dome!