If you only take or took classes at NTID and specific NTID courses than you're degree will be an Associates degree from NTID i believe. If you take courses at NTID and courses at the other colleges and are going for a Bachelors degree, it will say NTID/ RIT. If you are a cross registered student...
I disagree with many of the responses on here to your post. I am an ASL teacher, and as extra-credit assignments my students can choose a song they like to work on with me. Learning ASL through song translation IS one of the best ways for "hearing" individuals to learn ASL.
WHY, you ask...