I believe you can rent a SFH by the room. There are some SFH near campus, Xavier and UC, that I believe rent by the room. You will have to put in the rent agreement what your expectations are for the renter and make sure that all parties understand and abide by the agreement. You may be able to search for rentals online near these schools to get an idea of how this is done whether you are renting near a school or not.
Glad I could help but with anything don't just take someone's word for it. Definitely do your research to find out what works. Some suggestions would be reaching out to local property managers to see if they have clients that rent this way. Also, you can reach out to current properties for rent to see if they rent out by the room and ask for an application to get an idea of how it's done. Wish the best to you! Good luck and I'll see you around on BP.