The first and only time I did it, I did it blind (thinking it was JUST Ultima without the dungeon, whoops, thank you bard for asking) but amazingly no wipe. Soloing that is likely not possible just because of the mechanics alone in NM often require healing on cue.
I think "solo" mode is likely not actually designed into it. It's just "not full party", so if you aren't levelsynced, you should be able to just face roll over all the low-level dungeons. If they did make any kind of "solo mode" it's likely changes in mechanics to avoid stunlocks.
