(Great nickname, by the way... we are all a bunch of lucious ladies here, if you ask me! lol)
I know CAD can be really confusing at the beginning. And I would imagine that having a head already full of Atkins rules wouldn't make it any easier. I have heard of people combining the two programs, but it would be tricky. CAD's reward meal concept really only works because we keep our CM's ultra-low carb, don't snack between meals and strive toward some balance in the RM. So, for it to work, you would have to stick to the allowed list of foods and give up snacking, if that is something you do. But, then at the reward meal, you don't have to sit and eat carbs for an hour... none of us do that. (Well, rarely at least!) You have a healthy meal of protein and low carb veggies, with whatever kind of carb you like added to it... it could just be a complex carb veggie, some fruit or yogurt.. or any one of a million different things. If you want some higher carb desserts, that is ok too, but you certainly don't have to.
I think if I was you, I would rather do CAD 'clean' for a couple of weeks, to see how it suits me, instead of just adding a reward meal here and there. Then you aren't really doing CAD or Atkins and it might be hard to know what is working and what isn't. But, on the other hand, lots of people design custom low carb plans and that seems to work out good for some.
As far as CM protein goes. The CAD book says start with a 'normal' serving of protein for your CM's, 3-4 ounces. But, feel free to have more if you are still hungry or are finding you can't last till your next meal. But, you might find that you don't need quite as much food once you are on CAD, that is what others have said.
Good luck with whatever you decide to do.. we are all on this journey together!