Most of the badges aren't rewards for work done, they are signifiers of the type of work you like doing. I believe the closest for what you are asking is to join US History and then you can join the Connecticut project. The badge is just US History.
Also, tags increase visibility. this should have had Connecticut, Witch trials, and badges as tags so more people would see it. Those that follow certain tags will see the questions.
See here. https://www.wikitree.com/g2g/357157/connecticut-sub-project-united-states-history-project-join?show=357157#q357157
Also, more info here at the SPACE page. https://www.wikitree.com/wiki/Space:Witch_Trials
(note witch trials under resources)