Is there any soap that works for me?!?!

[rosypink]

Soaps I've tried: cetaphil cleanser, cetaphil soap for sensitive skin, neutrogena soap for sensitive skin, 365 vegetable glycerin soap ... all of these are fragrance-free.

Cetaphil cleanser made me break out. Cetaphil soap and neutrogena soap bars dried me out. 365 v.glycerin soap caused an allergic reaction.

How can I possibly use soap if every soap dries out or irritates my skin.... or makes me break out??? I don't think it's possible to find a soap that works on my skin. I wear make-up, so I have to use something to remove it. Any suggestions???

Skin type: red, dry, super-duper sensitive, and allergic-reaction prone.