As far as I know there are two tournaments put on by clubs for the spring/summer circuit: Drive Classic & 3D's Western Canada Invitational. While I haven't attended the WCI, it seemed like most of the clubs we have attend the DC, however there are a few that don't.
Looking at most clubs' schedule on the circuit, they play out province from mid-June until the end of July.
Perhaps someone else with more knowledge of how BBC is run can comment on what their schedule is like as I understand their teams start once school's over.
With that being said, I am looking into running an independent tournament through BC Hoop Scoop for the fall/winter circuit and will hopefully be able to run one next summer. The goal would be to have ALL of BC's clubs playing in the same tournament.