VanishedOne: Although presumably stat bonuses from blessings could also come into play. I'm thinking mainly of the ancient gods' quest.
Good point. But as ewmarch pointed out, it means limping through most of the game with 13 Dexterity, and no more than two ranks in Melee, Dodge, Persuasion, Pickpocket and Firearms. Then and only then can you do all the DX-based mastery quests. It can be done that way, of course; but doing so becomes the whole point of that play-through, and you have to literally plan everything else around it.
Another thing that would help is the Ring of Influence on the hand of the Haggle master; IIRC it gives you +3 to both Charisma and Beauty, and one full rank in both Persuasion and Haggle. If you pickpocket it off of him before you approach him for mastery, that's another set of points saved.
I already mentioned the Light-Fingered Gauntlets, and it may be possible to gain mastery of Healing (and possibly Gambling) without a full 18 IN, if you're able to employ a well-timed Potion of Intelligence instead. Similarly, ewmarch mentioned the Vivifier, an end-of-game schematic that grants +1 to all eight stats. Tricks like these would go a long way toward reducing the number of CPs needed; it might be interesting for someone to work out the actual minimum, as well as the step-by-step plan for achieving it.