Since you are homeschooled, I recommend making the most of all of the time you have left in high school- you may be able to complete more classes if you commit to working more hours per day, on weekends, and over the summer. I’m not sure how colleges will view a fifth year of high school.
I’m noticing that your four-year plan is very social studies heavy, so it may benefit you to replace some of these courses with science classes (colleges will expect you to have taken biology, chemistry, and physics at the very least).
Your math is what it is at this point. I would choose pre-calc over college algebra if those are your only options, but I don’t think it is necessary to take both trig and pre-calc. I think it is possible for you to complete Calc I during your senior year instead.
Your best bet for gaining admission to the colleges you have mentioned is to start somewhere else (probably either your state flagship or local community college), and then transfer after you have had the chance to build up a high college GPA.