Just make a Gmail account and set it up to forward to your real one. Only things that live in it will be the stuff for this class, and only temporarily.
What do you actually lose privacy wise from that? They get to know you’re in the class you’re in and see a very small subset of your communications related to it.
Ultimately, you’re the only one who can decide how much extra friction you’re willing to put up with for your principles, but in my experience it’s better to just make whatever bare minimum skeleton account you can to meet the needs and get on with life. Would you rather spend time fighting to make your special case setup work while giving the teacher reasons to evaluate your work more harshly, or learning the material?
Plus, there are benefits to blending in.





Imo, if your risk model has to account for nation state actors, you’re not the type of person who needs to ask about this stuff or you’re already screwed.
There are plenty of different options for throwaway emails and defense in depth on that if you don’t want the link to be direct, but the idea is ultimately the same: make what you need to get by, insulate between your real and it to taste.