I scored in the lower 170s and was not admitted to Columbia. i was told only afterwards that the Dean at Columbia does not like BTL’s and they won’t accept anyone there with a BTL. You will probably have an easier time with NYU. I did get into some top schools (albeit only the lower ranked schools offered scholarships) and one of my friends is in a top 10 with a full scholarship and a BTL.
I wouldn’t recommend hiring an admissions consultant, the whole process is one whole scam where you are going to be charged large fees every step of the way. I would maybe recommend hiring a professional to edit your personal statement. I know of a frum woman who edits graduate school application essays professionally, and I was quite pleased with the job she did on mine.
Congrats on your score, and much Hatzlacha.