Just going off looks I think a CCM fitting might be a tight squeeze if you tried to have it go straight towards the front. I'd imagine they would fit if you angled it up slightly. If I had to guess I'd say that the rear most milled line will be in the way of the CCM fitting.
Luke if I measure how far a CCM fitting sits away from an ASA or even a ULE body would that help? That way you wouldn't have to wait on somebody sending you one. They sit pretty close to a ULE body if I remember correctly.
I'm not planning on using them on mine but I have them if I wanted.
The user formally known as Lancecst.