I can't speak for the Americans, but I assure you that not only is bloomin' 'eck possible, but, in BE, it is far from uncommon...I think bloomin' 'eck is so unlikely as to be impossible, because the first word is never used like this in American, and the second word is never used in British English.
Would that be Rourke's Drift, or perhaps the Little Bighorn? Bloomin 'eck is quintessentially English rather than London speak. My mother said it, I've said it, my mother-in-law has said it. We were all brought up in different parts of the country.I stand my ground.
... which is well demonstrated by the fact that there are 500+ entries for "bloody hell" but zero entries for "bloody 'ell".[...] With the apostrophe, you would also have to rely on the author attempting to copy the dialect/local accent. [...]