Could GrEE go Nem rather than TSO extended?
Nope, cuz -2 Necro and Tmut.
Gr can cast Necromut, technically.

What about zigs?

Hmm.
That's right, GrEE starts Kiku, counterintuitively.
Makhleb might fit.  Abilities cost more with low mHP, but healing worth more.

GrEE Kiku -> Fedhas -> Makhleb
would work!
solved.