It does seem daunting the amount of things you have to do if you're doing it by yourself without the aid of an RE professional. 

Maybe offer aid to landlords. 

Kids are being asked about their earnings when completing FAFSA to apply for financial aid.

Here's a short pamphlet prepared by a legal aid agency in the area from the tenant's perspective.

Or you can just pay for a screening service.I think finding the tenants and do the showings is the most time consuming part of the whole property management side so it might be hard to find a property manager that will just do that for a small fee.So yeah the closest to what you want to do is to get a realtor, list it on the MLS and they will find you a tenant for a small fee (which is negotiable) and what i usually see on the MLS, its usually $200 to up to 1month rent.

I understand the question is wildly off-topic, but I am not sure such a game exists, and I think it would be a great teaching aid for high school students to learn the industry. 

However, my closest friend at this point owns a dealership and is a hidden multimillionaire with investments in many things.

Find the closest comps you can and then have a realtor help you make adjustments.

With that being said, the students may qualify on their own if you count financial aid, etc.

Some pictures might aid in getting opinions.