Well, stewey, we suspect 'limey' has always been somewhat derogatory, right from when it was first used (for 'lime-juicer)'. We don't think of it as complimentary in itself, anyway.
And, 'blimey' is not an adjective,so there's no 'blimey limey' or 'blimey' anything. But the phrase 'gor blimey' has an adjectival use. We speak of 'a gor blimey Londoner' or say someone is 'a bit gor blimey' meaning that they speak with a very marked London accent, sometimes called a 'Cockney' accent, or in that dialect.And Lonnie Donegan's immortal song 'My Old Man's a Dustman' contains the line 'He wears gor blimey trousers and lives in a Council flat ' suggesting that someone seeing his father's trousers would exclaim 'Gor blimey!' That expression is a corruption of 'God blind me !' and is rarely heard these days. 'Blimey' on its own is often heard in London and the South East.