I was going to say that entire routine (Suave>GVPCB>CK>LALSG) is something I've done repeatedly with no bleach issues.
3B/Medium Texture/Normal Porosity
Co-Wash: Suave Naturals or Giovanni Smooth As Silk Deeper Moisture
Conditioner: GVP Matrix Biolage Conditioning Balm
Leave-In: Giovanni Direct Leave-In
Anti-Frizz: Curl Keeper
Gel: Herbal Essences Totally Twisted Curl Scrunching Gel; LA Looks Sport Gel; LA Looks Nutra Curl; IC Hair Polisher Styling Gel