I've always had a problem with the justification for denying a wizard healing spells being, "because it's the cleric's shtick." After all, through the new 3e mechanic of domains, a cleric can choose to have access to a lot of the "wizard's shtick" if he so chooses. Wizard mainstays such as Haste, Fly, and even Time Stop have become accessible to clerics. Sure, not every cleric will have access to every (or even very many) wizard spells, but the potential is there. Why not give the same sort of potential to the wizard as well?
I haven't tried this in game, but here's a suggestion to help you get what you want. If a player suggested this in my campaign, I'd probably okay it.
Create a "Prestige School" for arcane magic, the Healing School. A wizard can choose to gain access to the Healing School by giving up access to other schools, just as a specialist wizard does. (Treat the Healing School as equal to Evocation or Conjuration with regards to what must be given up.) His only benefit, however, is access to the prestige school. He gains no additional spell slots per day, no bonus to learning spells, etc. Wizards with access to the Healing School add these spells to their class spell list, but not to their spellbooks. Spells must still be acquired normally through research and/or scribing. As the spells now appear on the wizard's class list (but only a wizard who's taken the prestige school, so scribing a scroll for other wizards is useless), spell completion and spell trigger items function for the wizard per the normal rules.
Then create a list of spells for the Healing School. Such a list might look like this:
Prestige School (Healing)
Level 1: Cure Minor Wounds, Virtue, Purify Food and Drink, Goodberry
Level 2: Cure Light Wounds, Delay Poison
Level 3: Aid
Level 4: Cure Moderate Wounds, Lesser Restoration
Level 5: Neutralize Poison, Reincarnate, Heal Mount
Level 6: Cure Serious Wounds, Remove Disease, Remove Curse
Level 7: Cure Critical Wounds, Restoration, Healing Circle
Level 8: Heal, Raise Dead
Level 9: Mass Heal, Ressurrection
I don't think something along these lines would be unbalancing. I might not allow it if there were a cleric already in the group (don't want to steal his time to shine,) but if there weren't one, I'd have no problem letting a wizard be a little different.