Make it clear when applicants could see it and when they can move in.  

To help us adhere to the highest standards, we employ an exhaustive investigative process for each applicant.

So if it's applicable to you, your local lender will be able to let you know.

You have to keep in mind expenses for paying evictions, time when tenant is in house and not paying rent (credit losses), good tenant applicants that can't move in for three more weeks, paying for utilities when house is vacant and making ready, etc.  

@John DombrowskiSome states have a reciprocity application process.

I gotta say I was drawn to Cozy over the smooth interface, application options, and some of the built-in features (E Rent Payment is very clunky) but am not sure I will stick with it long term due to the payment issue.  

Any guest intending to stay for more than two weeks must submit an application for approval by landlord.  

They make their money by doing background checks if you use their application. 

Can he can get a co-signer or joint applicant on the HELOC or cash-out refi? 

From all of the applicants I have for this SFH, I am gravitating towards this particular family the most.The good:Good income - 4-5X monthly rentGood impression/communicationStable jobsAbout 2X move-in funds available in the bankGood credit scoresThe bad:Bankruptcy in 2009They're being foreclosed on their current house that they're moving out ofCredit Card debt roughly equal to the amount saved in the bank (Their explanation: they paid for a month of tuition on the credit card)I know many people would never rent to someone who had a bankruptcy, but it was in 2009.