Realistically if you go into hiding in the United States it is very difficult for you to be found if you can actually stay “in hiding.” This is a massive country and there’s just too much of it to search.
The problem is in the particulars. To truly stay in hiding and essentially be “truly safe” from capture you would need to:
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Have a “safe house” somewhere, that was not in your name and not in the name of anyone directly connected to you.
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Need people to bring you supplies at your safe house, these people would need to be more or less unconnected to you.
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You would need all of the money to keep this happening in perpetuity without earning any money (as your earning options are virtually non-existent as a fugitive in hiding.)
That would make it so you would essentially be untraceable.
A less safe method would be for you to still work and go into town for your own supplies. You’d have to work a lot of under the table jobs, you’d also be able to get medical care through lying about your name and things of that nature, but it’d be more difficult. Forty years ago it would be trivially easy for a fugitive to move to a new town, get a legitimate job, rent a legitimate place and etc. You’d even be allowed to use your real name if you wanted, and because of the lack of everything being linked up you probably wouldn’t be found anytime soon, if ever. Further, you could just lie about your name and it wouldn’t be a problem.
Now, if you don’t have a legitimate social security number it is very, very difficult to get a legitimate job. Further, the number of “under the table jobs” that pay well aren’t as high as they used to be. Growing up I knew middle class guys who had earned a living under the table their entire lives, now a days, you are pushed more to the periphery and down lower into the poverty level working those jobs.
Basically it’s very doable to go into hiding successfully in the United States, but it is difficult to do it without giving up a hell of a lot. The big thing for a guy like Blago is you have to give up your family, they can’t go into hiding with you, and any contact you have with them is going to get you caught or get them in criminal trouble. Further, a guy like Blago who is a celebrity will have to change his appearance (might not be so hard, his hairstyle is almost iconic so if he just got a normal haircut many people wouldn’t recognize him on the street without his makeup and etc.) Further, a guy like Blago who lives large would have to get used to living in normal house and living like a guy making $15k a year not like a millionaire (which is how Blago lived despite not being wealthy himself.)
Finally, you could just choose to live in the woods and live off the land. That makes it incredibly difficult for you to be caught, but the truth of the matter is most people are not capable or are not willing to do that. Most people would take 12 years in jail versus living in the woods the rest of their life. That abortion bomber guy lived in the woods for many years successfully, but what finally got him caught is he came into town to dig through a dumpster for some supplies and digging in dumpsters is suspicious behavior and a police officer saw him doing it…went to investigate and found out who he was. Note that for many of his years in captivity he had lived in the woods eating acorns and lizards he could scavenge, supplemented by food he dug out of dumpsters. He kept his freedom for almost a decade that way, but I’m willing to be a decent portion of the population would have gone to prison over living like that.