arydolphin
GTHC!
Here's my list (in order of interest):
Duke
UPenn
Rice
Vandy
GA Tech
Clemson
Case Western
Johns Hopkins
McGill
Rutgers
So there's a few more than one not in the south, but most of my top schools are there. I also applied to Cornell (Early Decision) but got rejected from there.
Of course I'm biased in terms of which school I think is best on your list. Interestingly enough, I was a biomedical engineering major at Duke. bahester is right, NCSU also has a pretty good engineering program there. You'll be in a great place at any of the schools on your list. Rice is in a really pretty area of Houston, my in-laws live about 15 minutes away from there. Vanderbilt was actually my #2 choice when I was picking a college back in 1997....now I feel old.