Daniel, this is what I was told from an experienced investor . . . put the property under contract ONLY IF IT'S A GOOD DEAL, and try to get 21 days of escrow before you close. Put some earnest money down.
Then call and set up interviews with a bunch of general contractors (GCs). To find GCs, look at:
Angie's List
Yelp (search for General contractor in Augusta, GA)
Call a few real estate agents in the area and tell them that you're looking to purchase properties in the area as an investment. Most agents would only help you if you provide them the listing
Call the person in charge of the local REI group in the area and see if you can get a contractor referral (usually they'll do it for free, maybe?)
After you've gathered all these contacts for contractors, set up a time and day to interview each of them in person (fly out there on a weekend!). Make sure you research on what to ask your contractors so you know how to interview them. Make sure to ask the GCs if they have any current, on-going projects going on. Then during your down time in Augusta, GA, randomly drop by these project sites to see if you'd hire them.
After you've decided on a GC and have flown back to NY, you can use your boots on the ground contacts to regularly check in on the progress.