In my last life I had a Senior GM Flt Ops who said in a pilots meeting that 'our only recourse as pilots is to go sick'. In the good old days pilots didn't like to go sick. Whether it was a professional thing, a macho thing or a combination who knows (I'm gulty too!) but my point is unless the sick rate of any given airline has gone beyond a predetermined limit they (management) are not accountable. All you have to do is say 'I'm reporting sick due to insufficient rest'. If everybody does it then the company has to address the problem. The trick is to get everyone to agree and act!