Hmmm.
If you do look in the Asian market, you want 糙米(cāo mǐ). It is used for porridge making, often mixed with other grains and not often served as rice accompanying other dishes. This means that in my local supermarkets it is found with the other porridge grains and not with the regular rice. Asian markets may be the same.
Brown rice also comes in two types - glutinous (糯米 (nuò mǐ), 粘米 or 黏米 (nián mǐ)) and non-glutinous.
I hope this is helpful and not even more confusing.