I don't at all propose that it should be transcribed as [meːn] in this or any other article.  If anything at all, just a brief mention of the raising of TRAP and MOUTH in a pre-nasal environment would suffice.  I just thought it was an American thing to raise  before nasals (I do it myself), but I often hear Aussies do it quite a bit as well, and I don't hear English people do it at all.  The only difference is that Americans have a tendency to diphthongize it as well as raising it.  
I'm not really surprised you don't have a broad accent, being a Wikipedian.  I'm not saying it's not possible.
You're right; I was just kind of thinking aloud.