As a college student, I think the only important "anti-cheat" on exams should be ensuring that the registered student is the one taking the exams. Beyond that, if they want to use the internet or their notes, that is absolutely allowed. That _is_ how the world works, after all.

Only tricky part is that the students themselves shouldn't be able to collaborate since that can lead to one student taking the entire exam and sharing the answers, or many splitting the questions. I guess that could be remedied with question pooling, just requires a bit more effort.

"Change teaching so that they don't need proctoring" sounds a bit like a "draw the rest of the owl".