This is a cause espoused by two Canadians Goran Matic and Iavor Boev who are currently undertaking "a 4,800 km bicycle journey across the heart of Canada which will take them "from Richmond Vancouver in British Columbia to Montreal Quebec.".
Thus I inferred that "BCQC" seems to stand for "British Columbia-Quebec".
Matic and Boev are raising money to buy a Cerebral/Somatic Oximeter for the Montreal Children's Hospital. More details can be seen here.
Here's one BCQC wishing the other the best of luck in their endeavour.