It appears that Gary Johnson polled his highest share of the vote in the United States in Torrance County, New Mexico. He polled 5.97% in that county. Within Torrance County, his best precinct was precinct 15, which is in Moriarty, New Mexico. Moriarty has approximately 2,000 people and is 40.8% Hispanic. Johnson polled 8.98% in that precinct.
Torrance County is in the center of New Mexico and is fairly close to both Albuquerque and Santa Fe, although it is predominantly agricultural. Johnson does not live in Torrance County, and maybe Governor Johnson himself would be the best person to ask why he did better there than in any other county in his home state. Johnson’s 2nd best county in New Mexico was Los Alamos County, which was also the best county in New Mexico for Bob Barr in 2008, for Michael Badnarik in 2004, and for Ed Clark in 1980.
Johnson’s best county outside New Mexico appears to be Mineral County, Montana, where he got slightly over 5.00%. Earlier reports that he had polled 18.0% in Wibaux County, Montana, turned out not to be correct, although he did receive 4.60% there.
It is conceivable that there are some better Johnson counties in states in which I haven’t checked, but that seems unlikely.