That sounds like a plan. I use bbf for my other two cameras but I'm using photographing birds. I know the 1D IV pretty well, having had one for a couple years now. The 6Dc? not so much.
I get a bit confused with bbf and using a shutter release. If I focus with the back button... release it... things stay in focus when I push the shutter release to take the photograph?
Yes that's it! However, I don't use live view much so may not apply there? try it and see. Best wishes and have fun!