Approaching college admissions as a homeschooler
In your experience, how much do top colleges (such as Ivies) value "intellectualism" in homeschooled students?
For example, my "traditional" academic record isn't that impressive. I've only taken two AP exams, self-studied, and got a 4 and a 5. I'm taking a few APs this year. However, I have had a very rigorous, advanced classical education with lots of writing, a focus on the Great Books and classes like logic, rhetoric, and Latin. I've also taken several college classes.
Is this kind of thing interesting and appealing enough to colleges to make up for a lack of APs and the like? I have a great record as a dual-enrolled student at community college (straight As, honors classes, honor society, President's List, I have two professors lined up who I know will give me amazing recs) and decent extracurriculars. I got a perfect SAT score in reading and a decent one in math, a good but disappointing score in writing which I'll improve.
I'm not looking for a chance per se, just a general idea as to how colleges will see a homeschooler with that profile.