I'd like to add Mending to your list of spells that can heal constructs. RAW it doesn't work on undead, but since corpses are objects, you could repair a corpse before your made it undead it or-holdonasecond... I just realized that Mending is the perfect assassin's spell to hide a knife wound.I went through to find spells that can heal undead or constructs. They are Aura of Life, Aura of Vitality, Goodberry, Life Transference, Regenerate, Revivify (technically), and, of course, Wish.
Or, if you don't have Regeneration, use mending to reattach that limb before you Raise Dead.
Hm. Mending is looking better and better.