You really need to do a lot more research ( including just reading these forums) before asking all those questions for that large list. Those schools are all very different. My kids applied to a handful of the ones you mentioned, we have friends at several others, my spouse wrote a recommendation for another and we had a family member at another. Those schools are all VERY different.
You really need to know what your kid wants and honestly how they stand in comparison to their peers. This is tough, it really is. Most parents think their kids are the best in the bunch and that’s often true. But when you take a bunch of kids applying to BS, wow, that bunch is pretty darn bright and sporty and all the rest. In fact, some of the kids are simply amazing. There are things to winnow the list, like my kid wants to go home after school ends. Yep, that narrows the list. My kid likes a hyper-competitive environment, that’s another list and my kid wants balance but with more emphasis on x or y.
All of the schools on your list are stellar. Don’t overestimate your kids’ ability to get in especially if you live in MA ( If you live outside of NE, then you’ll likely be fine). Many have low acceptance rates and parents think the other kids won’t be competitive. But they are. So with an acceptance rate of about 10% for example for Groton, that means 90 other kids are NOT accepted. Those are 90 kids with talent and smarts.
On the plus side, each school has a vibe and the schools know which kids ( and families) will fit. Talk to people who have kids at those schools and ask them what they like and don’t, why they considered the school and why they decided to go there. BTW, you can go to any college in America from any one of those schools so don’t let them sell you on the matriculation list. Your kid if they are wise will know which one is best for them. Listen. And decide together. And don’t let your kid fall for the school whose coach gives the best speech ( the kid might drop that sport) or the best facilities. You and your kid are looking for the best HIGH SCHOOl experience they can possibly have. One in which the school will make them the best possible person while they learn and grow. You’ll know after a couple of schools which ones are best for your kid(s). It also might not be the same for both kids.