The fewer times that someone sees your face or hears your name, the less the risk. Biking and walking long distances are a plus. You should know how to drive just about every kind of vehicle, as short stints in a stolen vehicle may result as opportunities arise. Generally, except near the Mexican border, buses are safer than commercial planes - you get far less scrutiny. Near the Mexican Border can be a problem because Immigration officials frequently board and inspect buses.
Private planes are the safest per mile traveled.
Remote and isolated parts of this country exist all over. You an even find them relatively near very large cities. However, some parts of our country - Appalacia, the Pacific Northwest and the Southwest have the most such places. And if you end up having to kill them in self-defense, there will be fewer witnesses and more places to get rid of the evidence. The chances of dying from a medical emergency are higher.