Screening company, RHR, came back with the applicant's report and there is no rental history.  

When a landlord begins to look for a tenant with less than a month to occupancy the quality of applicants drops drastically.

(b) Conditional use conversion — authorized. (1) (i) In all districts except the R-2, R-4, R-5, and R-6, the Board may authorize, as a conditional use, the conversion of a building for use by more than 1 family, as long as the number of dwelling and efficiency units to be allowed conforms with the applicable principal-permitted-use bulk regulations for the district in which the building is located.

I would also ask for the rental applications.  

Or I could cancel my application for the permit and leave everything as is without enforcement from the town. i.e. keep operating the 4 units but they will not provide a CO which clearly limits the up side down the road when I decide to sell the property.

But so far, my best applicants have come from Zillow listings.

I would have them fill out an application, run a credit, background, and if they pass your min qual standards, keep em.

He had to be earning commission for at least 2 years minimum for his income to be considered for the loan application.

When I have a vacancy in LA I do one open house on weekend and have multiple applications.

When you are there to get the application signed or picked up a casual, "Oh since I'm here why not do the regular smoke detector check?"