One word of caution here -- the highest ranking schools aren't always the best for HG+ kids. I, too, have long maintained that my oldest isn't PG, but I do have some parents here of DYS kiddos who are suggesting that she's closer than I've thought. We've generally found that highly ranked schools tend toward bright children and maybe even more MG children, but not necessarily more HG+ kids.
I pulled the list of schools in my state that made that list from US News and the only one that is in my immediate area would not be a good fit for my HG+ daughter by a long shot. Since I work in healthcare, I happen to know that the largest percentage of admits to our adolescent inpatient psych facility come from that one school and it is only one school among 10 or so large high schools in my area. Yes, their test scores are higher than the other high schools, but there is a significant reputation for rigidity, running out families with lower performing kids, and high pressure placed on the kids which may play a part in those scores.
Point being, high test scores may tell you how many kids a school can get to perform at a proficient level or somewhat above, but not necessarily what the school can do for a child who would be performing that well with little help or what the school will do for your child in terms of meeting his emotional and social needs.