When the top ranked programs in the field have higher admit rates than the schools the student is asking for chances, it is a good idea to look at the top ranked programs.
There aren’t many rankings of particular undergrad majors in any field, but there are rankings of the departments and Phd programs which make a fairly useful proxy for finding departments that are leading in research in a particular field. Google “Philosophy Phd rankings” and you’ll find a number of good sources all of which rank NYU and Ruttgers higher than any of the schools the OP wanted to be chanced for.