I was going to say, if you were writing them for someone rushing at another school, just because they don't fit in with your chapter doesn't mean the sisters at XYZ State wouldn't love them. But in your situation, yeah I see your point totally.
__________________
It is all 33girl's fault. ~DrPhil
You might want to write one anyway, and either leave it unsigned (pointing that out, of course) or sign it as a "no" rec. Worst thing would be to have objections to the person...send no rec...and see them pledged to your chapter.