The bigger issue you're going to run into Andy is most lenders have a limit on how many mortgages you can have, and they typically offer lower LTV's when doing HELOCs on rental properties. 

With the limited information provided I wouldn’t offer a concession.

Also any transfer fees that may be applicable? 

It doesn't take much to lose control of your property and I would never advocate for actively giving up what limited control we have as landlords.   

I have a limit of two free range critters.If you do decide to accept that one, I hope they charge a hefty pet fee!

I live in Texas and we are getting nonstop rain and there seems to be no end in sight in clearing up this situation.Now this is where things will get interesting I am a private investigator so I have an application that records all my phone calls. 

I have two buildings where the utilities are shared and to avoid high temperatures in the the apartment in the winter, I install programmable thermostats that limit the upper temperature.

If they have not yet rebuilt their credit or it is not spotless regarding having zero late payments you reject their application the same as you would any applicant.

My goals (with my limited knowledge) are to do fix-and-flip deals to earn money and then reinvest in buy-and-hold properties.

Honestly, it's been a great property to own so far (I know the time is limited)  and the current tenants, on top of paying their own utilities, handle a lot of their own maintenance, too.As an investor I'm in full acquisition mode and looking to acquire additional properties, deal permitting, and scale up swiftly.