There is compressionless housing designed for brakes. Two I've used are Yokozuna and Jagwire. The Yokozun cable is wrapped with a thin band of steel to prevent expansion failure and Jagwire is wrapped in Kevlar for the same purpose. The Yokozuna is very stiff and a bit larger diameter than standard. The Jagwire is less so. I enjoy the reduction in lever sponginess these have provided and will continue to use these or similar in the future.