What version Claymore's runs the best with AMD rx 570 and 580 8gb cards and what driver should I install?
On Windows, I'd go with either the blockchain driver or something around 17.11 (whatever the first WQHL version is after they added "large page" support to the mainline drivers).
On LINUX, 17.50 seems a lot more stable than the blockchain drivers, but you have to modify one of the driver modules to get ANY support for undervolting or underclocking the core.