When I had rental units I would list a $700 apartment for $900 listed in the paper ,Then I only got calls from people who could afford the Higher rate, and that weeded out most of the trouble.
I also asked for references. I never had to check because people who are worthless Would not bother to apply.
When I Got a call from somebody I like I would tell him It was a mistake and listing and when they found out it was $200 less They would be pretty happy
Ha, good strategy!