Yeah 6cm 360 is a bit high imo. I went as far as 4.5cm 360, but it teaches you bad habits for long range fights like strafing to aim (which makes you predictable), or under duress makes it more difficult to keep steady. Or as you've experienced, you develop a flick which only really works when your aim is on point.
Maybe double it and try 12cm for a bit, see how that goes? Some CS players use like 45cm/360 so y'know its all personal preference. In your case its causing frustration, so its worth making a change.