I filled out the application but have NOT given out any sensitive information yet.

@Mike Auerbach  suggests a reverse exchange and while possible in theory, its practical application is more limited.

Do you have applications, screening criteria, leases, etc?

When taking applications, should I charge a fee to cover background, credit, and employment checks? 

Property taxes, insurance, HOA fees (if applicable), and potential legal or closing costs should all be factored into your calculations.

She is going to work on the application in the next couple days and hope to have some good news there, would be the best option for all of us involved.

AND you say that you also get there stated physical impacts, so with that your ASKING there assistance in coming to a REASONABLE Accommodation that both meet's there needs AND adheres to the rules of the property, other tenants and all applicable statues and regulations. 

For example, if you buy in Westwood most of your applicants will look like the rest of Westwood.

I recently received an application from a potential tenant, and everything looks good so far.

I have an applicant I'm going to reject soon.