You don't have to co-wash to be Curly Girl, sulphate free shampoos are included within the book/ method. Sulphate free shampoos often do suit those with scalp disorders or fine hair better. Not saying you have to retry if you are happy with your routine, just that you may have misunderstood how strict you need to be and ended up 'all or nothing'.
I had a much shorter drying time when I was using a protein rich conditioner instead of one including oils (you're equiv is silicones) recently, but the trade off absolutely is frizz in certain dew points or with the diffuser, they didn't seem to play well with humectants as my oils do. A way round that might be more product but using a hood dryer or bonnet dryer, or coconut oil soaks if you have porous hair.
Tonya McKay wrote an article for NC on ingredients that help cut drying time, not sure if you've seen it CurlChemist: Hair Drying Time
2a-2c, medium texture, porous/ colour treated. Three years CG, growing out mechanical and chemical damage = breakage and very high porosity. Past armpit length heading for waist.
CO-wash: Inecto coconut
Treatments: Komaza Matani, coconut oil, Hairveda Sitrinillah
Leave in: Fructis Sleek & Shine (old), Gliss ultimate volume, Inecto argan
Styler: Umberto Giannini jelly, Boots Essentials gel
Experimenting with: going back to basics