Wow. You're in a tough spot.
I'm not sure how you are going to do this...
Make being a butt head work and being good easy. Then go back to whatever you were doing like it never happened.
Forward motion is basically non-exsistant. We have a serious rearing problem, everytime I challenge him or say "no" his reaction is to rear repeatedly. Almost everytime I ask him to go forward he rears in protest.
... going on.
I would do one of two things, and it would depend on where the horse and I were, who else was around, and how much time I had for the horse.
I would either re-start the horse. Not caring if he was a dream on the ground. I'd find a hole somewhere. Doesn't want to stand tied for 4 to 6 hours? Doesn't want me to trim his feet (I have to be nearly the world's slowest trimmer). Put up with having a light saddle put on and taken off a few dozen times. Ground drive for a few miles.
I would purposely irritate this horse, correct, and do it some more. He'd give up before I did.
I've only felt the need to take three horses who reared back over. Then I did throw a tarp on them and let them think about that for a while. Less than an hour. But, they were bad enough that they had already hurt people and had just had some seriously messed up "training."
I wouldn't do that if there were people who might be upset. Not really fair to them, they don't understand. And you will be verbally attacked, screwing up your ability to interact with the horse appropriately when you get him up.
Being that this is a college program, I expect you have some time to spend on this. No 14 day deadline or anything.
What do your instructors suggest, if anything. My observation of many college programs are that there is little actual training of the students when things like this come up.