So right, if it comes to that, I'd make removable fences that we can leave in place when the kids are not in the garden, and remove easily to put out of harm's way when we're teaching. Having looked a bit, there is plastic coated chicken wire, and sturdy plastic mesh that might work, too.
We're only there one day a week. The rest of the time, the kids visit and look but there's no 'hands on' work unless we're there.
There's also the cost - we have raised beds, 6 of them are 4ft. x 8ft. and the other two are 3ft. x 10 ft. (narrower for the little kids so they can reach the middle). That's nearly 200ft. of chicken wire. I have bamboo we can use for posts, but it's gotta be sturdy enough to stand up to bunny abuse, also light enough to remove as we need to.
My first go-to is a scent deterrent, I think. Going to try that around the perimeter of the garden, and see if that is enough of a deterrent. All further suggestions are most welcome.