I think a lot of what calmom said makes sense. OP you have to have a really good plan to make this happen and have a couple of admission (and/or financial) safeties–which you would need either way. Your senior year has to be RIGOROUS (AP, Dual Cred.) . If you can’t show colleges rigor then don’t do it. Take my word for it as just having gone through the admissions process with a homeschooler. Don’t do this because you just don’t want to take the classes, because you have to take some of those classes you don’t want to take either way. Regardless of your credit status, Yale and selective LAC’s expect four years (in high school) of the core subjects.
Your recommendations (at least one) should come from a core teacher your junior year.
If you decide to take this different path I encourage you to have a recommendation that can HIGHLY recommend you–and explain your work ethic. Previous posters are concerned that it will look like you are taking a year off for the most part–that’s a valid concern so you really have to think practically. (You will also need to create your own transcript)
Your scores and grades are not the highest Yale (Yale may possibly be a reach depending on your ECs) will see so either way, you need to have other schools to apply to. Yale sees the cream of the crop–with awards in abundance, or EC’s over the top, and some of those get rejected. If you don’t have this your top student status at your high school may be something may you want to keep for senior year.
In NY you can’t take classes at the school if you are homeschooled.
If you need/want an AP class you have to seek it out elsewhere or self teach it and take the test in May. You could have had your parent get your home class AP certified so you can call it AP but it’s too late for that now (you can’t call a class AP unless the syllabus has been approved by the College Board).