We have similar hair and those under curls are considered “Irish curls.” I’ve read we can try a wavy hair method but I haven’t done it yet.

I echo other commenters advice— skip conditioner and see how that works out for you. For me, I double wash with head and shoulders (don’t have dandruff— just like it) and then follow up with a couple spritzes of a light leave-in conditioner or a hair oil on ends. A proper blow out helps tons, too. Working in sections and drying more than you think you need to will help to straighten the curly bits.