If you've used sulfates to remove the cones, you should be good to go. Shampoo doesn't have to be called "clarifying." Here's an article that talks about milder surfactants Curly Hair Q&A: Are "Gentle" Surfactancts Also Damaging? You could use something like CJ Daily Fix, which contains "coco b." It's generally enough to remove most cones.

When I first went CG/modified CG, I'd use a sulfate shampoo once a year--just in case. It didn't set me back at all.

There are a few things you need to get great hair. The foundation is a good haircut with the correct layering. After that, you need to use the right ingredients/products and techniques. It's all about getting the protein/moisture balance correct.
3a (Corkicelli), highlighted, fine, low porosity
modified CG, since April '07
CG since 3/11/08

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HGs: Anything Sevi; Curly Kinks Satin Roots, Curlycue ReNew and Coil Jam; homemade FSG and okra gel; soap bars; UFD Curly Magic (now Hello Curly Curl Stimulater); Botanical Spirits Jellies, CJ Repair Me, Marie Dean Leave Ins and Curl Creams