From Southampton, he played as a youngster at Chandlers Ford Snooker Club.[2] He won the European U17 title in Malta in 2019. He finished second in the 2020 EPSB Under-21 Premier Development Tour and reached the last 16 of the World Snooker Federation Open in Malta.[3][4] He beat Fraser Patrick to reach the last-64 at the 2020 English Open in Milton Keynes in October 2020, before being beaten by John Higgins.[5][6] He entered Q School in 2020 entered Q School in 2020, he lost in the first round of all three events. In the three following years at Q School his best result was reaching the last-64. In 2024, he managed to reach the last-32 of both Q School events.[7]
A top-up player from the Q School order of merit competing as an amateur at the 2024 Championship League in Leicester, in June 2024, Benzey performed with credit going unbeaten in his round-robin group that included a draw with former world champion Mark Williams, as well as wins against Northern Ireland's Fergal Quinn and professional David Grace.[8] He was defeated by Mark Joyce in the quarterfinals of the Q Tour Global Play-Offs in Antalya in March 2025.[9] He entered Q School in May 2025, reaching the final round of event two with a win against former professional John Astley, where he faced Rodion Judin of Latvia. A 4-2 win earned a two-year card on the World Snooker Tour, starting with the 2025–26 snooker season.[10][11]