Very interesting responses here!! There is so much to this equation, some not given, that it would be difficult for anyone to answer but I will add food for thought. Managing your condo from afar wont be easy or free so I would sell it before you move. If the funds are a $250K loan as you said I would be sure to plan wisely how to repay!! I don't see any lender letting you buy houses below $50K, $30K at best b/c they just don't lend very often below that so your somewhat limited there. Also if you do buy a couple of those $50K houses the bank might slow you down by reducing your loan availability amount, and they do it!!! Sometimes they quote you for a single purchase, not several investments properties. I would get to know the Nashville market very well before investing there since its new to you. I am unsure of your knowledge of real estate so I would say take in as much as possible about crunching your #'s before investing in rentals "on the fly"...b/c you can. I am unsure of your profession so I don't know how easily you could get a job there to repay the loan, area's income for your profession, and your capabilities of owning/managing rentals. These are all things YOU must ask yourself to be able to answer this question.
It all sounds very risky to me but IF I were to do anything of this nature I would:
1. Keep your current job, without it there is no loan
2. Sell the condo before moving, stick back that cash -your gonna need it
3. Be learning the Nashville market as much as possible (starting today) before moving, along with rental info there (rent comps, taxes, etc) and laws in that state/county
4. Study rental property real estate all you can before making a purchase
5. Dont buy anything you cant get out of rather fast b/c once you buy it, "ITS YOUR BABY" until you sell it. Go too big or too small you may get stuck with it!!! Make sure you can pay the payments without a job for several months with that condo sale & savings!!
6. Renting for a year there to learn the market and make sure you want to stay as suggested in the previous comments is a great idea!!!
7. Get opinions on the area for rentals and homes from several brokers/agents, especially the ballpark development area you discussed-could be good or bad?
8. Play it safe enough that you don't destroy that credit limit b/c once its gone, its gone for a long time! You can always buy more property later.
9. Apply to several positions there starting now. You can always turn them down but at least they will have your resume on file for when you can relocate.
10. If it were me (in your shoes) I would probably buy a nice fully finished basement home (you coould afford without any help from tenants) close to hospitals, factories, etc (separate the two) and live in one half and rent out the other half to medical professionals, manufacturing coordinators, and other professionals who may need a year or so lease that will pay well. Make sure the area you buy allows doing this first. Make sure rents would well support the expenses of the property (yours and theirs) and extra left over to live on, for repairs, etc. If this works out for you buy another one and do the same thing. If it doesn't work out for you it can easily be sold as a duplex or converted back to a home for resale.
There are many ways you could invest in rentals but which one is for you is the question? Big multiunits, small multiunits, single family homes, and much more! The risk is all on your ability to repay the loan, you owning/managing properties, and making a good purchasing decision in a new area. I hope it works out well for you!
I wish you the best and applaud your initiative but be careful in your decisions!!