[nfras] Where I live the last syllable is usually, but not universally, pronounced with the short 'i'. By that I mean that the 'li' bit of it agrees with 'bit' and 'it'.
I can never spell it either. I have no excuses - it's my favourite vegetable also, and it's also spelt the same in French, so I'm pretty much stuck either way.
"Brocco-lie" is a very common pronunciation in Leicester. And it drives me up the wall. That and "straight-the-way" instead of "straightaway". Arrgghh!