He would do what the T-1000 did. Mount a campaign using your picture. Go to your last known address in a police uniform. Try to have you charged with a crime to get wanted posters of you put up around America.
If you leave the country, go to the last known airport you were seen at, or last known bus station, whatever. Constant methodical patience might produce lead after lead for him to follow up on. Or maybe you’d get away? I’m not sure. But he would never stop looking. You would need plastic surgery paid for in cash plus lots of money to bounce from place to place.
You could run out of resources pretty quickly...