The best bit of security a woman alone can have is a big, well-trained, dog. But I have been told that any dog is an excellent addition in case of worries about people breaking in.
What you describe sounds like a delightful place. I have known trailer parks straight out of white trash hell, and those which are wonderful communities. In the South, which already has a tendency to oppress all its residents, it is a cheap way to house people and dysfunctional families find they are thrown out of their other options because of the behavior of some of their family members. It is sadly rare to be thrown out of the kinds of trailer parks they wind up in, and thus, the stereotype.
Also, both TV news and crime dramas have a tendency to increased someone's perception of their personal vulnerability. So you also need to assess if this is a realistic worry, and how much of one it is.