I haven't used After-Effects, so no help there.
As for color manipulation, I directly adjust the individual R-G-B channels in a R-G-B Histogram function for simple corrections. If things look more complex, a R-G-B Curves function allows more hands-on precision (for the more experienced). Of course, always use an eye-dropper tool to see the exact, resulting R-G-B numbers -- very good for source-target comparisons.
Other functions, like your mention of the Channel Mixer, only hide what they do to the R-G-B (or in your case R & G-B). That's really hit-or-miss, puts secondary adjustments where you don't want them, or/and damages the correction with crush & blow-out. So I don't use them.
[If you need an example, my recent demonstration http://originaltrilogy.com/forum/topic.cfm/THX-1138-preservations-Italian-Cut-available-see-1st-post/post/667478/#TopicPost667478 should give an idea of what's involved.]