It does not matter as much as what the forum wish for.
If you are FANG, will you only hire from a few colleges? Wall street small firms may only hire from several colleges, as they don't need a lot of staff.
Private college =/= small class, no issue in enrollment ......
Hot major has a lot of enrollment.
It is just a college. No big deal. Keep calm and keep on going, independent which college you get into.