Call me silly if you want, but I cant possibly see ANY centre in Australia turning away a bowler. It just wouldnt be logical.
There are many beginner leagues out there in various centres, with ball leagues and low cost leagues being very popular.
The only problem that I could see, would be that you are a single bowler, and the league mightnt have any vacancies. I am sure that they would be more than happy to find you a team that does have a vacancy, or try a singles league.
Good Luck.