Last summer I tried to do the CA WOD and grapple 2-3 times a week. I liked it but it wore me out. Mostly because I didn't arrange it properly. I would lift and grapple on the same days once in a while. Bear walks and roll back squats really suck after you squatted prior. I have also figured out that I am older than I used to be (40 in March) and should recover better and get more sleep. So when I eased up some, my lifts went up and my shoulders quit screaming at me.
I think it will work you just have good nutrition, sleep and recovery. There should be an acronym for good nutrition sleep and recovery. Just to make things quicker.
Good luck with that and let us know what you came up with.