If they have a reliable team of third-party contractors, leasing agents, and a good software it's doable. 

Is there a software that allows me to do this without subscribing and paying a hefty monthly fee?  

Look at other development applications in the area on the city website. 

@Jayden Hamilton We used Innago to run our applications and they had options to check background, credit, & bankruptcy.

I've been using cozy.co , but interested in looking into what else is out there. I'm looking at Tenant Cloud and RentRedi. What else should I consider?

I would like to thank everyone that has helped me along the way in answering questions and contributing to other posts.The next item on the agenda for us is setting up a software/ process for tenants to submit rents and any maintenance requests that they may have.

She stated that she filled out several application with no luck.

You and I have not seen her paperwork, her credit report, her loan application, her verification of employment, or anything else.

What suggestions do you have for good accounting software starting out for keeping the books on investment properties?

I spent my savings on a paint sprayer and grew my knowledge on different paints and stains for fences, as well as application methods.