Your math is actually right on. Taking away the larger Ivies with the huge endowments, the "Little Ivies" rarely exceed enrollments of 1800-2000 total or 450-500 per class. There are folks with income that don't need/want financial assistance. So a 1200 number receiving financial assistance in the form of scholarships/grants etc. is about right. 100% for all? Probably not. But if your child is academically successful (still hard to get in, lacrosse or not) it can be a much more successful future than choosing a school with a lesser reputation.
Remember that the discussion usually involves the "New Ivies", not just the "Little Ivies". The smaller schools are nowhere near the $2B endowment number (Boston College with 9,000 undergraduates and 4,500 graduate students for example is currently at $1.7B).
New Ivies
Boston College
Bowdoin College
Carnegie Mellon
Claremont Colleges (Harvey Mudd, Pomona)
Colby College
Colgate University
Davidson College
Emory University
Kenyon College
Macalester College
University of Michigan
New [lacrosse] University
University of North Carolina (Chapel Hill)
University of Notre Dame
Olin College of Engineering
Reed College
Rensselear Polytechnic Institute
Rice University
University of Rochester
Skidmore College
Tufts University
University of California (Los Angeles)
Venderbilt University
University of Virginia
Washington University (St. Louis)
