Came across a non collateral loan offer ( work as a physician and got a letter from a firm offering 50 K -200k for personal / professional use).

Yes, and the odds of You finding a qualified tenant as opposed the professional agents is remote.

I won't brag, I'll leave that to others but I will give you one important piece of advice.Being that you are a stay at home mom, which I am a huge fan of, you can classify yourself as a "real estate professional" for tax purposes.

I'd explore those....

The best thing to do would be to build a relationship with a broker that deals with credit unions, banks and private lenders to explore the best options for your situation.

Financially it probably makes sense to sign a lease with these applicants rather than leave the property vacant for an unknown period, even if it means not collecting pet rent or additional deposit.My question is: Would you push the issue for the "service dogs" and make the applicants provide a letter from a medical professional? 

Professional flippers from different states were prevalent.

Most real estate professionals (all that I've talked to) in the area agree it's going to have a noticeable negative impact on home prices. 

You might benefit more from looking at the experiences and investing habits of high function professionals like medical professionals, professional athletes and successful business folk in other time demanding fields.  

In my opinion the best way to find any type of professional is to get recommendations from family, friends, coworkers, etc...