ONE private school up north (Hillsdale) stands alone in the nation (world ?) as actually defending capitalism and "real-world" decision-making. that's IT.
In engineering, physics, computer programming, and a few of the technical programs, your children will get "less" incorrect information than in the mush of liberal arts....but in general, the "better" the reputation (among the liberal writers who evaluate colleges!) a college has, the WORSE it do for your child.
At the engineering schools at least, the "honest" students serve as a form of reality check on the idiots and communists teaching their lies. It doesn't change grade punishment from the liberals for writing the truth (as happened to my daughter) - but it helps. In a "classic" liberal arts college, where your child may be the "only" honest person in the room of 150 nitwits- her/his ideas don't stand a chance.
And, in a few years, NOBODY (other than academia) will caer where your child has graduated.