Watch the no sulfates shampoos from teh health food stores, I know for sure Jason's has a cone in it. It makes my hair very tangly.
Activate makes a very good shampoo no cones and no harsh cleansers and it's pretty reasonable. I like creme of nature, it's cheap, found at walmart and not drying although some do find it is too conditioning. For the price it's worth a try though if you like No poo.
If you want a mild shampoo Elucence makes one, moisture balancing shampoo. You can buy it pretty cheap by the liter and a little goes a long
ETA: oh and yes your hair could like sulfates. Maybe they take off what weighs your hair down and lets the curls spring back up.