The problem with relying on necro to heal yourself is that
a) You only heal yourself after you start dealing damage to the target's health
b) You can't heal armor, meaning if you can constantly bring yourself to full health, you're subject to chain CC

Since you want to do solo, regardless of build, you should consider having lots of ways to restore armor and even some Perseverance to avoid stacking CCs.

Now, I was wondering if I could play a solo game on Honour mode as well. I was willing to do an Undead Summoner/Necro, but I'd probably be using a few mods. Even without mods, Summoner/Anything should be a good idea, since stacking 10 summ is possible by level 3 with Lone Wolf and it doesn't require any main stat, meaning you can go combo Summ with anything you'd like.