Heh, I only thought of the sound clash, didn't consider the meaning at all. ;) "Ax" in Swedish doesn't mean the same thing as in English, but "ear (of wheat/corn/etc)" or the key part of a key, and in the case of my surname it originally had something to do with oaks, so that is of absolutely no concern. :)
I'm just theorizing a little, so there aren't really any "alternatives" as such, but it's fighting Tullia and Irmelin for a place in my top 3 ...