This is a follow up to the question Is it possible take take part in a research project if I'm not a part of a university?
I'm a student who has not yet entered college (though I am planning to as soon as I graduate highschool; that's a little ways away now though) located in the United States. I am old enough to legally work (just to clarify) and I'm interested in doing research. I've been teaching myself various subjects in math, physics, and programming/computer science (I've learned how to program in Python, the basics of calculus and linear algebra, and I'm reading about quantum computing, for example). Reading the question linked above, the advice seemed to be to contact a professor, whether through family, at conferences, or by emailing, and that it was certainly possible. I don't have any family that is in academia, and I can't exactly attend conferences (though I might try to attend some open talks that the nearest university gives, though that's a bit of a long shot) so the best option seems to be to email them.
What information do I need to give the professor? I've read about a CV, but my educational record is, you know, Kindergarden through 8th grade (with straight A's, but, you know, plenty of people get that) and the electives I've taken haven't yet differentiated much, and they won't until around 10th grade. I have taught myself a decent amount, but I don't know how to convey that information. I've found several professors at a university near me that I'd be interested in working with, and I'm working through some of their papers, so I can talk semi-educatedly about their research (hopefully, anyway). I also have an idea for a research topic that I've been working on for a bit in the field of quantum computing.
Should I try to compose some version of a CV? Should I explain that I'm teaching myself various subjects, and am interested in their research, perhaps referencing some question I have about one of their papers and/or stuff I'm working on? I assume you're not really supposed to say, "Dear Professor so-and-so, Can I work with you?" I also assume they're not going to take reputation on stack exchange as any sign of intelligence. =)
Tl;dr, how can I a. get a professor to take me seriously and b. have a shot at getting accepted as a volunteer or assistant or summer intern or whatever for the professor/lab/group? Or should I not be emailing them (instead calling them, setting up an appointment, whatever)?