Regarding Nobles: it is very sports oriented and I would not be surprised to learn that many of their 10th grade admitted students fill a role on a varsity team. Everyone we know from Nobles who went to a top college in the past several years was either a recruited athlete or a legacy (often double legacy) at the university.
That is not a knock on Nobles, but it isn’t an Ivy feeder for normal smart kids (even if it kind of looks that way from the outside).
And I have to echo the sentiment of @Calliemomofgirls, please do not make the mistake of thinking that a prestigious BS will increase your Ivy chances. It is, I suppose, debatable, but most BS parents will tell you it makes it harder not easier to get into an Ivy.