In blunt terms, I couldn't.
I am also autistic and have had arfid suggested to me in terms of my difficulty managing food. I wasn't able to manage with sharing kitchens with many people in my first year, and I was only sharing with 4 (although in a really small kitchen). I majorly struggled with eating and the college nurse eventually got my room changed to one that had cooking facilities in room after christmas (was a wheelchair accessible room which I didn't need but I did need the cooking facilities) and then it got much better.
I could probably share cooking facilities again as I now have better coping mechanisms, but I couldn't share with 10 people. No way.
I'm not saying this to say that you would definitely not manage, but I think it is important to be aware that it may be a challenge. I was not prepared for it being an issue, and as a result it took far longer than it should have for me to notice my spiral.
It might be worth bringing this up with college. It's not impossible they'll have an alternative, and even if not it is good that they're aware so they can help you if you do start to have issues.