She worked in Alaskan politics, serving as a special assistant to Lieutenant Governor Terry Miller and Alaska State Senator Frank Ferguson.
Brevoort left Alaska to attend Brown University in Providence, Rhode Island, where she received her MFA in playwriting.
In 2001 it won the silver medal in the Onassis International Playwriting Competition and the Kennedy Center Fund for New American Plays Award.
Brevoort's plays and musicals often use theatrical conventions and forms from around the world to explore contemporary American subjects.
She used the methods of magic realism from Latin American novels to dramatize life in an Alaskan fishing town in her play Into the Fire.
She was also commissioned to write The Gorn Galaxy, a 10-minute Zoom play, for the Flash Acts Festival, produced by Arena Stage, Georgetown University, the Center for Global Engagement and the American Embassy in Moscow.
She was also commissioned by the Chicago Opera Theatre to write Quamino's Map with Belizean British composer Errollyn Wallen, where it premiered in 2022.
Brevoort wrote the book and lyrics for Coyote Goes Salmon Fishing with composer Scott Davenport Richards, which won the Frederick Lowe Award.
Brevoort also wrote King Island Christmas, based on the Alaskan children's book by Jean Rogers, with composer David Friedman.