My son attends Coram Deo Academy in Dallas. They are accredited by SACS and in process of getting the university model school accreditation i believe. It is classical, Christian, and collaborative. It is non-denominational and adheres to the Nicene creed. The mission of the school is to "train ethical leaders and wise thinkers shaping culture for the glory of God." They are explicit in that whereas some Christian schools are evangelical in nature, in their case they are equipping the saints, so to speak....families are believers and a pastoral reference is part of the process of admission. It's a supportive community and the parental involvement is high because of the collaborative model.
Most students attend class two days a week and are homeschooled the other days (there is a 5 day program at one of the campuses but I don't know anything about it). They are adamant that the parent is the primary teacher of the child. This is a big deal to me. It has been an ideal model for our family because I am overwhelmed at the idea of full-time homeschooling at the moment, but walking in partnership with them has been a delight.
Our campus has small class sizes (12 is about the largest i have seen, some as small as 2-3). Electives offered on Fridays such as art, music, world culture, hands on science. My child is in grammar stage but in older stages they use a house system for the kids that I think is highly character driven and accountability focused.
There is good outdoor recess time and time for lunch wiggles as another poster said. I wish there were more time for charlotte mason lovelies (Perfect word, prior poster!), but with only being on campus two days the time is packed. Of course that's the beauty of three days at home! We can do our nature walking then.
I know you were leaning towards a full time model but you may glean some ideas from their site.
Www. Coramdeoacademy.org