Monique,
For Nashville, one can consult the Metro Property Utility (on-line search by address, owner, or parcel) to see who owns a place. Most larger cities have something like that, but not all cities do. Often you can just enter an address into Google and find a property owner (or see the last real estate transaction). That same search might help you to see if others have had problems with that address.
A simple inquiry of: Do you own the place? is a good start. And, if the answer is no: Is the owner aware/and has the owner approved your leasing thru __(whatever service)_?
While Airbnb is popular and growing, I personally do not have the comfort level to lease a room (or an entire place) thru them (yet). Reason: There is a wide range of 'professionalism' among those who participate. Some are first-timers or near first-timers, some are likely total class-acts.......but who knows? I like to know that I am staying in a 'tested' place....one that I can easily check on TripAdvisor and one at which there will likely be no 'issues.' And, if issues arise, there will be a professional at the front desk to deal with them. I don't have to worry about some landlord being surprised I'm there, etc. While Airbnb provides guidelines to those who offer and those who buy, there is not a deep due diligence done. It appears to be more of a set-price EBay-type offers/reviews type arrangement, as I view it, with Airbnb handling the $ transaction (as PayPal would for EBay).
But, others may have a wider comfort level than I do, and others may have a higher risk tolerance than I do. Nothing wrong with that. We are all unique and different, and that's what makes the world go round. There are many happy reviews on Airbnb, and some people like the uniqueness and friendliness (as they view it) of staying in someone's house, apartment, etc. Some people like having a local 'host' to show them the town, etc.
I also do not book hotels thru third party entities. I generally find better prices dealing directly, and I then reconfirm prior to the trip. And, dealing directly seems to result in frequent room upgrades, too, or a comp breakfast, etc.
.........but, again, whatever works for you and for your individual situation.