Bickerstaffs were advertising some pure AMM, albeit from Greece rather than British Blacks. It took a bit of digging on the website, but have a look towards the bottome of the page http://bickerstaffs-queens.blogspot.com/Mike Roberts at Easy bee imports Carni queens.
He has been banned from the forum for spamming,just type easy bee into Google to find his website.
Not sure if anyone does AMM queens for sale.
You could try Roger Patterson on the BBKA forum for advice,or try the Bibba website.
Just out of interest why do you want carniolans.. I was reading Simmins' A Modern Bee Farm last night and he mentions that Carnionals are: "Active during the summer months" .. and then adds ... "Somehow their activity never seems to result in the accumulation of a proportionate amount of stores, unless they are hybridised, and then not only is their temper somewhat vicious, but the become chronic robbers."
I think Hivemaker feels they are not on the productive side, so I'm wondering why you like them!
There is a man in the south of ireland who breeds and sells PURE AMM queens. He is called Micheál MacGiollaCoda (pronounced McGillacuddy). His bees are dna tested to be sure they are pure AMM. Here is a link to the site. They are called Galtee bee breeders.