Jan 15, strong math, great aid for intl's?

<p>Okay so I'm looking to apply to just one more school(if I find one that I like :) )
Please tell me if there are any schools which meet all of the following conditions:</p>

<ul>
<li>January 15(or even later) deadline</li>
<li>Strong(second or third tier) math department. First tier is Princeton, Harvard, MIT and such. Second tier is Duke, Northwestern and so on. Third tier is what falls immediately below second tier.</li>
<li>Acceptance rate between 18% and 30%</li>
<li>Full need met for accepted international students(that does not imply that the school has to be need-blind, or has to have a large number of internationals receiving aid)</li>
</ul>

<p>virginia tech has really good engineering program</p>