"candidacy being" is correct and you can use it in written English.
For example: "His candidacy being widely supported, he won the election."
But few were betting on his candidacy being put forward or being accepted by the guardians' council.
The revelations about Witt's Rhodes candidacy being compromised are just the latest to muddy the inspiring picture of a scholar-athlete torn between brain and brawn.
The couple was forthright about Miriam's candidacy being a means to return Jim to the governor's mansion, even adopting the slogan "Two Governors for the Price of One".
For what people really mean when they refer to his candidacy being post-racial is that it is "not too obviously black".
One of the greatest frustrations of his candidacy — being away from his wife, Michelle, and his two daughters, Malia and Sasha — will come to an end, win or lose.
Implicitly and explicitly, the work of professionals with an outreach role in Keep Well was aimed at increasing the likelihood of candidacy being enacted by those whom they were able to reach.
