PERSONAL PROPERTY INSPECTION AND REPAIR:Seller warrants that all major appliances, heating, cooling, electrical, plumbing systems, and machinery are in working condition prior to closing.

If he were to publish your information, that would certainly warrant reporting him to the police (and any identity theft people) so you would at least have that, but as a couple other people said, you should be able to put a freeze on your identity information while this is going on.

@Brandon Rauscher Subject2 deals can be tricky and depend ultimately on trust.One way to do it:Seller places property in LLC, then adds LLC as additionally insured to their insuranceThey transfer LLC to you, you give them reps & warrants about making payments on time to protect their credit.You'll need a letter from them giving you Power Of Attorney to discuss loan with lender.

Any Suggestions, or Comments are warranted !

Nothing here that would warrant hanging up on a prospective tenant.

What warrants you being so difficult?

Worst case scenario, is the tenant presents the facts regarding not having heat, and you present that a technician was sent out and that the temperature has not warranted heat for at least a couple months. 

I can see now too how that could get hairy, unless the couple fit into another reason within the application that would warrant them to require a consignor.

Providing full access to MLS for a non-licensed person may be grounds for license revocation and certainly warrants a Texas Real Estate Commission (TREC) complaint.  

If you can get this far,  it gives you the leverage you need to get them to act while extending whatever amount of grace (time) that you feel is warranted for their plight.