I discovered that BRHG is unnecessary if I just use more CQ rather than less. Foregoing the BRHG makes my hair much less producty.
So the final result: CJ CCCC lite + CQ gives me better hold than CJ CCCC lite + SS FHG + CJ CIAB. (It's probably due to the protein and PVP in CJ CQ which SS FHG doesn't have.) I'll probably switch back to SS FHG once the dews drop, but for now, I'm definitely preferring CJ CQ.