Bakker has no evidence, apparently.
You should not be trying to convince any scientists of BBT, because at this stage it is backed up only by
circumstantial evidence and has not been properly experimentally falsified. Your friend is correct to take a skeptical stance.
You do not need to use analogies to explain it.
Ask your neurolinguistic friend if she has heard of anosognosia. If not, you can refer her to Prigatano's "The Study of Anosognosia" which is a technical and respectable volume on the subject. Very briefly: when people suffer strokes they can lose the capacity to see or move their limbs, and yet they are unable to detect the limitation.
The brain confabulates explanations to account for the lack of information.
This can be interpreted in many ways, but one way of looking at it is that "consciousness" (which you should define to her as the private, subjective, first-person experiences which go away when we enter dreamless sleep or coma state... you can refer her to Chalmers for more on the subject) is actually caused by gaps in information that must be 'filled in', just like the anosognosia patient does. Just as we cannot 'see' where our thoughts come from but accept their provenance as normal, and just as we concoct a magical ability called "Free Will" to explain movements that originate from our brain, the very ground of our phenomenal experiences may be illusory. This in turn explains why we have a philosophical problem in the first place.
Semi-formally:
1. Everything seems amenable to naturalistic/materialistic (ie scientific explanation): gravity, explosions, bacteria, human biology.
2. Our own subjective experiences ('my experience of red' vs. 'your experience of red') do not seem amenable to materialistic reduction.
3. Science can find correlates to conscious states, and different conscious states.
C1: Given 3 our intuition about 2 is wrong. But it doesn't
seem wrong, no matter how hard you think about it.
C2: Something our 'wiring' prevents us from 'seeing' the truth of 3.
C3: We are 'blind' brains, who are mainly blind to themselves.
BBT could be partially or fully falsified by the following experiments:
1. Fine-grain neural mapping shows that networks involved in consciousness do not neglect or ignore any information.
2. Experiments using transcranial magnetic stimulation (TMS) or Transcranial direct-current stimulation (tDCS) find that under certain circumstances the patient can detect what part of his cognition is being manipulated (BBT has already partially passed this test, in my opinion, since under many circumstances where tDCS is used to cause a patient to move a limb, the patient will confabulate an explanation for their movement other than the current).
3. Neural mapping finds that neural correlates of consciousness are not distributed and instead map specifically to a single brain region. (This would falsify BBT because then you can say there's a single part of the brain that's doing the "seeing" of the rest of the activity in the brain. This would also be contra Giulio Tononi's integrated information theory)
I have a few other (very) speculative ideas how you could go about finding confirmatory evidence for BBT, but they remain outside technical capacity for the time being.
I hope this helps.
PS: I highly recommend reading several books before speaking to scientists on this subject. At the very least acquaint yourself with-
"The Tell-Tale Brain" or "A Brief Tour of Human Consciousness" by VS Ramachandran
"The Conscious Mind" by David Chalmers
"The Mind's I" edited by Douglas Hofstadter and Daniel Dennett
"The Man Who Mistook His Wife for a Hat" by Oliver Sacks
"The Brain that Changes Itself" by Norman Doidge
Further reading:
"Wider than the Sky" by Gerald Edelman (1972 Nobel Prize in Physiology or Medicine)
"Phi" by Giulio Tononi
Advanced:
Original papers on computability (Turing, Church, etc.), information theory (Shannon, Kolmogorov, etc.), neuroscience (Kandel, Bliss, LeDoux, Eliasmith, ect etc etc etc etc etc etc) and philosophy of mind (Searle, Nagel, Churchland, McGinnis, Dennet, Chalmers, Schwitzgebel, etc etc etc etc)