If cotton is what you need against the skin, try the "Everlast" underwire. Without the wires, of course. The elastic at the bottom edge is contained in a tube of cotton fabric. The style I like best is actually a pullover, all cotton knit, and comes in black, white, or grey. I don't know which side of the ocean you're on, but in the US, Shopko carries them, and I think Target does, too.

Ingrid