Thanks to the good work of Ray U., we can construct the following registration map of NC. As the legend suggests, the GREEN counties are those with Libertarian regisration proportions (as % of registered voters) greater than 0.11%. And the YELLOW are counties with registration proportions of 0.09% to 0.109%. And that's about half the counties. The RED counties are those with the lowest percentages, below 0.03%. The counties left white, then, are those between 0.03% and 0.089%.
Overall, only 1 in 1,000 registered North Carolinians are L's.