It's not just bmibaby; the bmi diamond club has a phone number that connects you to a call centre downtown India that is next to useless. So you ask for an email address, and they say no-one has one. What b0ll0cks!
There is, of course, a snail mail address, but no alternative phone number, or no email address, for someone who can help.
Maybe its a bmi thing, or maybe this is how they define 'customer service'.