I have a product idea for you. You could offer me, as an employer, a part of what they pay you as an incentive to hire your graduates. Essentially I'd be getting a discount on my employee costs for the first two years in exchange for helping your program be more attractive because you'd be able to show a higher post-graduation hire rate.
I'm still working out the ethics of this in my head though. Is this ethical or exploitive? I think the answer depends on the employer. I feel like it's good for the student, since after two years they will have had a chance to learn on the job at a discount to me, and if I've done a good job training them further, they'd be valuable enough to me to keep on board without the discount. But I worry that an unethical employer might only keep them two years and abuse them and then cut them loose when the discount runs out. So you'd have to prevent that somehow.