I've been trying to find 26x1.20 to 26x1.35 slicks, with natural rubber. Four shops later, I have only found tyres with "plastic" rubber. Natural rubber is soft and moves with your finger if you rub it, while the fingers just slide over the plastic kind of rubber.
Only the off-road tyres seem to have proper rubber in them.

Should I give up? I just feel that the plastic kind of rubber will give me less traction, as it can't reshape itself to the road surface.
Do you ride with the plastic kind of rubber, and if so, what do you think of them?