CFK wrote "Anybody have any statistics on the number of kids who are admitted to universities without a high school diploma or homeschool transcript? I'm not talking Ivies, just good state schools."

If you are not interested in early entrance programs, you need to check with the universities that you are interested in for the entrance requirement.

It might be pretty difficult. University of California (UC) system, for an example, have quite uniform minimum requirements called UC eligibility.

1) take 15 year long UC designated academic classes (a-g classes) including 4 year English.
2) GPA for 10th and 11th grade a-g classes
3) SAT/ACT and SAT II test

This is not a big deal for those who take 4 years of high school, but it might be hard to meet if the kid spends only 2 year in high school

But there are always exceptions. UC allows high school students to plea their cases for not meeting the minimum requirements to individual campuses.