Maine and Massachusetts
Maine and Massachusetts have what's called the people's veto referendum where the citizens can gather the signatures of registered voters and push a referendum to let the voters decide if a law takes effect.
If Massachusetts were to pass such a measure, it probably would not survive the referendum. And such a measure banning public broadband would never pass the democratically controlled Massachusetts legislature.
Massachusetts has pretty good access to broadband except for a few communities in western Mass and the Quabbin reservoir area. Some parts have even three choices. Springfield has D3, even though the only other option is DSL. Maine has good connectivity in southern Maine, northern Maine has connectivity issues.
I've experienced ImOn (when they were McLeod USA), Mediacom, Comcast, and Time Warner. They are much better than broadcast TV.
I have not and will not cut the cord.