Billy plays BLUE’s father in Season 2 of this web-series available on youtube.  Season 2 premiers on March 15th, and multiple episodes air every Friday (6-7 episodes – source WIGs Facebook page)

Blue airs on Fridays at 6.00am (PST)/9.00am (EST) – source

From the WIGS website:

Blue is a mother with a secret life. She’ll do anything to keep it from her son. But her past has other plans.

Starring Julia Stiles, Uriah Shelton, David Harbour, and Jeanne Tripplehorn.

Written and directed by Rodrigo Garcia – Albert Nobbs, In Treatment.