Hinch was involved in the real estate business in Merrimack, New Hampshire. He was elected to the New Hampshire House of Representatives, in 2008, representing the Hillsborough 21 district.[2][3] From 2015 to 2018, he served as the majority leader of the House, and from 2018 to 2020, he served as minority leader.
Hinch opposed paid family leave legislation in 2019.[4] He supported school choice legislation that would give parents $3,000 for either private school tuition or homeschooling.[5]
During the 2020 COVID-19 pandemic, Hinch supported Republican representatives who refused to wear face coverings on the House floor, referring to this faction as the "patriot section" and "freedom group."[6] On November 20, 2020, Republican House members gathered at McIntyre Ski Area, where they nominated Hinch to become the next House speaker.[7] (In the 2020 election, Hinch won election to a seventh two-year term, and Republicans regained control of the state legislature, taking majorities in both chambers from the Democrats.[8]) The indoor meeting was followed by an outbreak of COVID-19 among Republican lawmakers.[6] Several of them tested positive for the COVID-19 virus after the conference and before the opening session of New Hampshire's legislature.[7] The outbreak caused a controversy, as Democratic state lawmakers said that they were not informed of the outbreak, while Republicans were informed.[6] Hinch publicly downplayed the outbreak,[6] saying that only a "small number" were infected.[7]
On December 2, 2020, Hinch was formally elected and sworn in as speaker at an outside gathering on the University of New Hampshire campus.[8][9]
It was unclear how Hinch acquired the virus,[6] but Republican state Representative William M. Marsh blamed the death of his colleague on "peer pressure" from a group of Republican legislators in New Hampshire who refused to follow public health guidelines to prevent the virus's spread, such as social distancing and wearing face coverings. Hinch was succeeded as speaker by his deputy, Sherman Packard.[6][8]