Which is the least liberal Democratic U.S. state?

[Skill and Chance]

Virginia...although its urban Democratic areas are very liberal.

I would only personally say this of its more affluent college towns (i.e. not Blacksburg, Radford, or the one with the Mormon college) and the white bobo core of Richmond (which I once heard described as "Brooklyn with Confederate monuments" before Northam dismantled them). The rest are by and large either less ideological party median types or Gottheimerite/"national security mom" #realigners, as exemplified by their own Reps. Luria and Spanberger.

This. VA Dems and Dem leaners aren't super ideological outside of places like Arlington and Charlottesville.  They are mostly people who decided religious conservatives were getting too far into their business in the 2000's, but many of them also evidently think woke activists are getting too far into their business now.   

[Skill and Chance]

New Hampshire imo; I imagine Democrats and non-affiliated voters in Nevada have generally more left-leaning views while NH is heavy on Tory (or Torie) type Dems.

It's an interesting tradeoff between NE suburban states with tons of 6 figure business Dems vs. old school labor machine states with significant social conservative influence.  In any event, I don't get how the answer could be Nevada.  While it's clearly in the second category, social conservatism basically doesn't exist there.