The 21-year-old has been a free agent since being released by Walsall in the summer.
Bowerman, who netted 11 goals in 59 appearances for the Saddlers, has signed a contract with Stanley until the end of the season.
"George has scored goals in League One so we're pleased to have him on board," manager James Beattie told the club's official website.
"Hopefully he can add some firepower to the strike force, his movement is excellent and he passes the ball into the net, he's very precise with his finishing and very rarely blasts the ball.
"He shows the composure and quality in front of goal that we have been lacking in recent weeks."
Beattie revealed that Bowerman had turned down more lucrative offers to join the Football League's basement side.
"I know speaking to him and his agent that he had other offers on the table and ours was by no means the best in monetary terms," Beattie said.
"I think the appeal for George is the opportunity to come in and work with myself. Hopefully we can develop him as a player and a person.
"He's got on well with the lads, he's integrated well into the squad and he just told me that he felt that it felt right here. He wants to help us climb up the table and we welcome him into the squad. Hopefully he can start producing for us."
Bowerman recently trained with Scottish Premier League side St Johnstone but could not agree a permanent deal with the club.
- Sports & Recreation
- James Beattie