One of the pros will be along with a good answer.
FWIW The "traditional" stocking scheme was always CC, BG and LMB where I grew up. I would question whether, in the long run, the CC can control the BG and RES population without help from another predator.
I have seen a couple small ponds where CC only has been able to effectively control the BG enough to prevent stunting. CC are not fed pellets in these ponds. I have to remember to go back this summer and recheck the fish status of one of these ponds. It would be very interesting to hear from others with just CC and BG or HBG.