Why not find the ‘top’ perceived private schools in your geographic area of interest. They’ll all share college placements so you can see the # who matriculate at each school which btw may have little to do with ‘which’ school itself and just be based on # of qualified kids who applied.
Of course many top schools don’t admit by major at all - you’d decide Econ later as many top colleges don’t even at colleges that have a b school (whatever that means), they may know where the student went but not the major.
Good luck.
Here is a few examples.