The market for rentals here is a bit tight. I own four houses and they have stayed rented for the past couple years. Mostly young families move here because of the great school district and low crime rates. When I have house for rent available I post it to Zillow and on my Facebook page. Otherwise, there is no central database of rentals available. It's a very fragmented market so you need to check online everywhere and network a bit.
While Zillow and Craig's List are the main resources, you must take great caution and be aware of the scams that so many people fall for. In general, you need to meet the owner or property manager at the house. Take a photo of their license plate. If you are interested the first step is to check the county records to see if they actually own the house. It's probably smart to avoid those 'out of town' investors that want to do business through the mail and Western Union.