Not done the CCC, but it appears to offer you more "classic" climbs than the Raid Alpine (which I have done). It also looks a magnitude harder (more days and each is longer with more climb).
Probably reflected in the cost. A Raid will cost around £750-£1,000 plus flights with a tour company. I did originally think £1,800 (plus transfers and flights) was too much for a supported bike ride in Europe. But on reflection, this was probably me being anti-Rapha rather than it representing particularly poor value.
As an aside, I did both my Pyrenean and Alpine rides with Marmot Tours, who were very good.