I recently bought my first project/venture house about 6 months ago. It had a 6 foot daylight with a 6 inches thick, non-reinforced wall. The ACI has about three really good publications on Shot Crete or Gunnite (both correct and interchangeably used). I had the house lifted 3 feet in the air for $10,000, finding a good house mover was not really easy but not terribly hard either. To get a recommendation on a Gunnite contractor, I called a local ready mix plant that I have frequently worked with to give me a recommendation.
My wife and I bent and tied a mat of reinforcement to the inside face, about 2" off the old concrete wall, hooked and epoxied into the base of the wall and terminating in the upper portion. Plywood was nailed to the rim of the raised house and the sill plate with anchor bolts already in it was screwed to the inside. The Gunnite was shot in about 4 inches thick over the old concrete wall and of course about 10 inches thick at the two foot void created by lifting the house. The Gunnite cost me $3000 for material and labor. An important point about Gunnite, I used #3@6"o/c vertically to give the Gunnite something to hold on to vs. a large bar with a bigger spacing. My contractor didn't like the idea of Welded Wire fabric but I'm not convinced that it couldn't be used in this application. The bonding of Gunnite to existing block or concrete can be surprisingly strong however a good attachment at the top and bottom would still be prudent. I think this idea could be adapted to a failing block wall; the prices were for 2004 in the Seattle area if that helps.