I don't think an ACV rinse will remove cones.

You can use a low poo (no sulfates) to remove cones, but SM poos don't have enough surfactants to effectively remove cones.

Try one with coco betaine - most of the Organix poos have it, but there are many other options, too. You probably wouldn't have to use it every time - maybe just once or twice a week. In fact, some people don't have a problem with amodimethicone at all. You'll just have to experiment and see how your hair reacts.
2c/3a/3b, Fine/med, Dense, high porous, & normal elas.

Lo-poo - Renpure Keratin, SMR, Giovanni SaS
clarifying - mix Johnson's H2T with low poo
Co-wash - Suave Nats. clar. or coco.
RO - GVPCB, Ion Eff. Care, TN.
LI - SMR, Cure Care, or RO
Seal - MO or Jojoba
DT - + honey, ACV, & EVOO to SM masque & GVPCB
PT - Gelatin!, CNPF
Styling - FSG, AIF, BRHG, LALS/PS, GF curl spray gel, SM Souffle/Smoothie, LOOB
Oils - MO!, EVOO, jojoba, GSO, SM Elixer, EVCO, VO5 Hairdressing