@emily09098 I’m assuming you already know this, but UCSD and NYU are NCAA fencing schools. If you are good enough at fencing, you may be able to get coach support for your applications. Have you reached out to the coaches at these schools? You should also read this thread which has a huge amount of info about fencing recruiting and college fencing in general:
http://talk.collegeconfidential.com/athletic-recruits/1902048-the-only-college-fencing-recruiting-thread-you-need-to-read-p1.html