There are some decent ones. But all the top 35 or so for sure are going to only do fall admission.
I know LSU (which is a good school, even if not rated super high) can offer Spring admission; but it is a more special thing then a common thing.
You can also contact some smaller but still decent schools such as Auburn. While rankings are great, they are not everything. Those are both really good schools actually.
Look around and send some emails out. Attach a really good CV/Resume with it as well; especially if it makes you look really good (publications, posters, research, etc).