Not according to my dictionary, I think you were right the first time.
'al-you-min-ee-um', Where are you getting the "ee" sound from? If it was a French word, the "i" might give us the "ee" sound, but here, the "i" is already being used by the "min" sound.
I keep mine in a cage under the stairs and feed it 'A-loo-min-num'. :-)
Aluminium is a British spelling.
It's the British pronunciation, though I've never heard it with the 'you' in the second syllable. Probably because I was always so amused by the 'ee' syllable that I wasn't paying attention to anything else.
I had a visiting professor from Mexico my second semester of Physical Chemistry. He pronounced Helium as 'el-ee-oom.' Very funny.
No, I'm aluminiuming 'em, mum."