I grew up in the country. Don't expect them not to start shooting every unknown person on sight once an incident happens with drifting city folk. If you have a hunting lease, don't expect the owner to want you there living off the land. Having a plan to go somewhere else is fine if you can drive all the way there without getting off the interstate or other main roads and that includes not stopping for fuel. If you don't know your neighbors or they don't like you, don't expect access to your place in the country even if you own it. They will have blocked access to the area, and you won't be wanted.
Nationwide unrest in other countries has shown that governments abandon policing of the country side in favor of controlling population centers. This means that the likely free for all will not take place for very long in the cities, but would likely last longer out in the country. Don't think this fact will be lost on human predators. It would take open hostilities between the government and other parties to stretch that out.
The US government has enough oil in reserve to provide for US needs for 1 month or the US military for well over a year. They have vehicles designed for surviability on a nuclear/biological battlefield that can traverse enivronments that very few civilan offroad vehicles can, drones, thermal imaging and night vision, trillions of rounds of small arms ammunition, air assets that provide great mobility, and enough troops to systematically retake control of every population center in America regard less of how screwed up the infrastruture is. If that is no enough to deal with urban situations then the human race is done because little sh1thole countries can control urban centers with small arms and an untrained unmotivated military.