flyblue obviously the UK CAA has very different rules to what you describe. I am sure most UK based CAA will vouch for the fact we regularly work 6 consecutive days on a 6 on 3 off pattern, with some days (feels like most!) working 4 sectors.
I am not too familiar on the CAA FTL rulings but from what I can make out UK CC are allowed to do 6 days on, but it must be followed by atleast 2 days off. We must have 2 off together every 2 weeks and 1 off every 7 days. We can work on the 7th day but only for positioning or so I believe.
Stay where you are, I'm coming to join you judging by those rulings!