First off welcome aboard Bill, and second of all, your question is one that is indeed perfect for this place. While I am not an expert in anything, I know there are a few contractors (Steve Ash) and Professional Home Inspectors on here that can keep you straight. Darren has already given you good advice. I got a few things to add too, though as I said I am not an expert by any means.
First off realize that log homes are unique right from the get go. They are a lot more heavy then conventional homes and settle unevenly. The building should be settled out by now, but if the foundation is not in perfect condition or thereabouts, I would run away as fast as you can. I would think a foundation problem on a log home would be a money pit.
With a log home replacing a rotted sill is not an easy job. Its not easy on a conventional house, but on a log home, I would think it would be worse, with more weight, more uneven jacking to contend with and the like. I would really look at the bottom sills of the house and make sure they are not rotted or infested with termites. (We don't have those in Maine, but I think that is a concern in Georgia)
Now in Maine,log homes are kind of undesirable. They are prone to a lot of air leakage due to their loose joinery and lack of chinking. Heating them can be a bear. With wood only having an r factor of .7 per cubic inch of wood, a 8 inch wide wall only gives you an r-factor of 5.5. Pretty slim considering what conventional homes get 11 with just 3˝ walls. Our heavy frost and thaw cycles also make the settling of the logs unpredictable. Of course seeing that this is a vacation home, and located in Georgia, I don't see some of the downsides of log homes being an issue here.
I would inspect carefully, proceed slowly since its truly a buyers markets now, and make sure you are getting a place that will be enjoyable in the years to come and not a structure of added anxiety.
I have no intention of traveling from birth to the grave in a manicured and well preserved body; but rather I will skid in sideways, totally beat up, completely worn out, utterly exhausted and jump off my tractor and loudly yell, "Wow, this is what it took to feed a nation!"