Binns appeared as Colonel Robert Baldwin with June Allyson as his screen wife, Eleanor Baldwin, in the 1961 episode "Without Fear" of Allyson's CBS anthology series, "The DuPont Show with June Allyson". Also that year he made two guest appearances on "Perry Mason", first as Lloyd Castle in "The Case of the Angry Dead Man," then as Charles Griffin in "The Case of the Malicious Mariner," and in an episode of "The Asphalt Jungle". He had a leading role in Rod Serling's "The Twilight Zone" in the 1960 episode "I Shot an Arrow into the Air". He portrayed a marine biologist obsessed with a whale in the "Voyage to the Bottom of the Sea" episode "The Ghost of Moby Dick".