There is also psionic healing, if you prefer to go the XPH route...
To echo some of the other posters, if you plan NO healing other than natural healing, get rid of the following.
1.) All Evocation Spells that deal damage. There are a few non-evocation damage spells (acid arrow, etc.) Fireballs = TPK.
2.) Any monster will ability drain, energy drain, or non-curable diseases (mummy). One attack from these creatures becomes a death sentence.
3.) Dragons. All of them.
4.) Dungeon Crawls with lots of monsters. Or don't put a time limit on them.
5.) Easy on Posionous monsters.
6.) Save or Die Spells (Finger of Death, Power Word Die, Bodaks). If there is no coming back, it sucks to go out like a punk to a single die roll, esp. with full hp.
It will be a radically different game.