Libertarianism (D) v. Populism (R):
Arizona is the most libertarian state in the country. It also has strong social-conservative factions, but there's a reason it's the only state with a serious Libertarian Party. New Hampshire is the only comparable state.
With swing states:
I'd be careful with Minnesota. Northern Minnesota can be pretty populist, especially economically. The same goes with Illinois (which I agree is a swing state). New York should definitly be a swing state in my opinion. There are a lot of economic liberal in the cities and even quite a few upstate. New Mexico is one of the most populist states there is. I would look to Gary Johnson's failed attempt to stop the war on drugs for this.