Seems like the easy fix here is move all evaluation in-class. Are schools really that reliant on internet/computer based assignments? Actually, this could be a great opportunity to dial back unnecessary and wasteful edu-tech creep.
The only longterm solution that makes sense is to allow students to use AI tools and to require a log provided by the AI tool to be provided. Adjust the assignment accordingly and use custom system prompts for the AI tools so that the students are both learning about the underlying subject and also learning how to effectively use AI tools.