<p>I think you should look into Bucknell. It is a bit smaller in student body than you wanted (about 3500), yet has a very highly ranked engineering program. (Top 10 ranked in US by USNews for undergrad engineering for schools with an undergraduate emphasis.) It also has another professional major (business) and is still a top ranked LAC.</p>
<p>It is greek heavy. But you can thrive as an independent. My D is doing so.</p>