Schubart is best known for the residential architecture he designed on Salt Spring Island, a body of work consisting of over 230 projects.
In 1929 the family moved to France, where Hank attended the Lycée Léonard de Vinci d'Antibes, and later the École des Beaux-Arts.
After receiving from his aunt Adelaide Werner a copy of Frank Lloyd Wright's An Autobiography, Schubart became inspired to study architecture.
Although the internship involved paying tuition, Wright waived this requirement and allowed Schubart to enter without cost.
Schubart spent the next year at Taliesin, learning drafting from Wright and, like all other interns, doing labour work at the estate.
In August 1934, Schubart left Taliesin to work as a draftsman for the Joint Assyrian Expedition, travelling to Mosul, Iraq.
Schubart remained in the Middle East until the summer of 1935, spending time in Iraq, Syria, Turkey, Palestine, and Egypt.
With the United States' entrance into the Second World War in December 1941, Schubart took a job with the Navy working in a ship yard in Kentucky.
In California, however, one could obtain an architectural licence with ten years of drafting experience, so the Schubarts moved to San Francisco.
Another significant Schubart project was a house he designed for photographer Pirkle Jones, located in Marin County.
In 1967, Hank received a commission from a couple wanting to build a house on Salt Spring Island in British Columbia.