The 14-goal striker is the inaugural winner of the Dave Haining Trophy after winning the most man of the match votes on the club's official website during the season.
He will receive the trophy at Saturday's home game against Hartlepool from family members of Mr Haining, who passed away last summer after serving the club for 47 years as a player, coach, manager and secretary.
Clarke told the club's official website: "To be part of a club for 47 years shows incredible loyalty and I will be extremely proud to be the first recipient of the Dave Haining Trophy."
Manager Richie Barker added: "It must have been a difficult decision to make because a lot of our players have been extremely consistent this season in terms of their performances.
"We often asked Billy to play in different positions but he always gives his best and he's come up with some fantastic goals as well. To be our top scorer in our first season in League One and win the Dave Haining Trophy as well is a tremendous double for Billy."