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.
The latest Adrenalin driver works perfectly well for RX cards. It's pointless to intentionally install older drivers.