OP, if you are sincerely asking for our opinions, I have to say that when my D. was selecting her HS, we were not asking the question about her future college, we were asking the question about which HS was the best match for her personally. The unfortunate aspect of our struggle was that we disagreed with the kid. D. wanted to attend at one private HS primarily based on her admiration for their sport team that she was planning to participate and she knew that lots of her friends will be there with her. We wanted her to attend a different private HS that did not even have a team for her sport and was way more expensive. However, nobody was thinking about the college at this point. Choosing her HS was the most torturous and long process of them all in my D’s past. She basically 'glided" into college later and “glided” into medical school after. I believe that the right HS is extremely important and the decision should be taken with the most serious considerations, as you are apparently doing. I would just leave the college out of this decision for now and check which HS matches the kid and the family the best.
In our case, we prevailed, but it took very long time, I think over a year. D. said later that she could not imagine being at the better HS than the one that she attended, she thanked us many times over! Which proved one point (again!) ------mom is always right!!!
As far as college goes, D. graduated #1 in her HS class, she could apply to many elite colleges, but choose to attend at in-state public on full tuition merit award, in the selective program that accepted only 10 kids, so that worked out perfectly also. That is why I am saying, do not worry about the college now, make sure that the kid is at the place where she belongs and it will do the trick!