I've heard the AN E in a smallish room, though not as small as 10' by 11'. Although the speaker is designed to be placed in the corner of the room, you can reduce the bass to some extent by moving it out of the corner. I have heard it used this way and I think it sounded quite good. However, the smaller Audionotes also sound good in a small room, whether used in the corner or a little bit out of the corner, and I would bet that they would work better than the AN E in such a small room as the one you described.
But, if there is a possibility that you may, in the future, move the speaker into a larger room, it may make some sense to consider the AN E even if it has to be used in less than ideal conditions.
But, if there is a possibility that you may, in the future, move the speaker into a larger room, it may make some sense to consider the AN E even if it has to be used in less than ideal conditions.