Keep pushing for CART if that's what works best for you. Make sure arrangements are made with enough lead time, and that you are able to meet with your instructors and the CART transcriptionists ahead of class to cover any other accommodations or preferences that need to be arranged.
Be forewarned that videos used by colleges often don't have captions. You need to be proactive about that because many instructors are either clueless about the need for captions, or just assume that captions are included.
When it comes to college services, assume nothing and question everything.
