To me that roster is one of the worst in the industry. Take a look at the average shift worker in the UK. 4 on 4 off it is as simple as that. First week of earlies and second week of lates followed by lates again, then earlies and so on.
I have been on that shift for the past 5 years and it works. Funny that isn't it? It sounds to me you need to change your CC.
If you couple that shift with an optional time and a half payment for working a day off everybody wins. You guys must be like the walking dead and besides that you have to question yourself if you really want a life stye that easy are dishing out. I for one would protest with my feet. Good luck anyway.