Raising sperg to go to HYPSM

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Let's assume we're talking about a child that's extremely motivated and bright enough for what I'm describing, but a complete sperg and no talent whatsoever except studying for exams.

What would be the straightest, purely scholastic route to scoring admission to HYPSM for this child, that is, purely through the performance in school? Not through having extracurricular activities or achievements, but through performance in grades and tests. He also really wants to go to HYPSM.

Here's my plan: try to teach the child as soon as possible to self-learn by grade six, (either through homeschool), and then homeschool him and spread out virtually every non-language AP exam among his middle school and high school years. After the sixth or seventh grade, he would do nothing but learn how to score fives on these exams and only learn for this purpose, not actually taking the course itself, which will considerably shorten the workload. The structure of the curriculum will be that by the time universities are accepting applications for Early Decision, the AP results for the 12th grade year will be received.

In addition, the same level of dedication will be applied to scoring in the 99th percentile of the SAT and ACT, with frequent practice tests and taking the exam in an official setting as often as possible.

Perhaps I've underestimated the requirements for being accepted into HYPSM. If so, what else could be done in a purely scholastic setting, and assuming the child gets 20+ fives in AP exams and scores in the 99th percentile of the ACT and SAT exams, what's the most prestigious university that would most likely accept him?