There are great local property management companies that carry many rental properties. Depending on if you are a short or long term renter, makes a difference as well as the price range you are looking in. Conway, SC is a vast area and contains many options as far as housing.
Although craigslist is a good source, be aware of many scams out there targeting renters.
You should at least phone someone you trust in the area to make sure the house is for sure a rental.....and not part of a scam. I (and one of my patrons fell victim to this once, and found that a stranger had just been able to walk into his home without his knowledge. Luckily, he was a very forgiving client and friend, so all was smoothed out, but what a nightmare to go through. I believe that knowledge is power, so just wanted to share my experience. Hope this helps....