Tye Sheridan (Mud), Angeliki Papoulia (Dogtooth) and Dean Stockwell have also been added to the comedy's line-up, reported Deadline.
The film stars Gregg Turkington, who is reuniting with his 'The Comedy' director.
It centres around an ageing comic known only as The Comedian (Turkington), who travels across the South-Western US to reunite with his estranged daughter while he also attempts to revive his flagging career.
He finds himself lost and disillusioned among the desert populace.
Turkington, Alverson and writer-comedian Tim Heidecker (Tim and Eric) wrote the screenplay.