I am not sure why folks seem to assume it is more dangerous to be on the road in rural and small town America than in most of their hometowns. Take the same precautions you take in everyday life. You will meet mostly kind and generous people on the Trans America. Depending on where you live it is very likely that when it comes to the concerns that are being raised you will be safer than when you are riding in your home town.
Have a great trip!