My husband and I both have ADD, and we can't use dressers or any closed clothing storage, either.
I have a wire cubby system in the spare bedroom that holds all my clothes, neatly folded. Its out in the open, and it's got open baskets the size of the wire cubbies to hold things like underwear, bras, socks. Shirts, skirts, pants, and jammies are just neatly folded on the shelf. Hats and scarves hang from the corners. I'm in the middle of re-doing the spare room to hold an actual guest bed (and crib, as we may be fostering soon) and so I think I'll put a japanese screen in front of the shelving unit just to keep it hidden partially, but still accessible so I'll put my clothes away!
My husband cannot be that neat and cute with his stuff, so he has shelves built into a closet (we took the hang bar out and built in open shelving) and he keeps all his stuff there. Same concept, but we can shut the door on it if his folding is a little askew.
Also, a labelmaker is your friend. Label where your clothes go so you don't have to think when it's time to put them away. My Brother Ptouch was about $20 and it was the best investment I ever made in terms of home organization - I use it everwhere for this very purpose.