The Mercatus Center has put together a page of “Snapshots of State Regulation” using data from their State RegData project. Their latest data suggests that population is still a big predictor of state-level regulation, on top of the red/blue dynamics people expect:

They also made pages with much more detail on each state, like what the most regulated industries in each state are and how each one compares to the national average:

You can find your state here.