Remember that they have moved on to rural Georgia. It is not at all unusual for a farmhouse to have well water (I don't know a ton about that particular part of the country, but I'd say it is more the norm for places outside towns around here) and a gasoline or natural gas generator would not be unusual, either. If it is natural gas, it would not be noisy (and, I'd guess it is, as they'd be conserving gasoline by now, I suspect).
As for the density of zombies, they appear where they lived/died, so there wouldn't be very many in the country. And, it appears as if people flocked to the city for protection and services when the outbreak first occurred, so even less than the occuppied homes. If Herschel's farm is several hundred acres and they turned away any roamers during the first few months of the outbreak, I'd say they are pretty safe at present.
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