After retiring as a player, Bingaman took a job working in public relations for
Goebel Brewing Company in
Detroit. Bingaman also testified that the Scotch he served had "practically no alcoholic proof," prompting one Detroit columnist to write, "Greater love hath no man than he should ruin his business for a friend." He served for five years as the Lions' defensive line coach, leading a group that became known as the
Fearsome Foursome (
Roger Brown,
Alex Karras,
Darris McCord, and
Sam Williams) and was acknowledged as one of the best defensive lines in the NFL. After the Lions compiled a 7–5–2 record in 1964, team owner
William Clay Ford Sr. fired five assistant coaches, including Bingaman. In February 1966, after spending 1965 working as an NFL scout, Bingaman was hired as an assistant coach by the
Miami Dolphins. He rejoined his former boss, George Wilson, who took over as the Dolphins' head coach one week earlier. In January 1967, Bingaman rejected an offer from
Joe Schmidt to return to the Lions, opting remain with George Wilson in Miami. On December 7, 1969, he collapsed on the sidelines during a game against the
Denver Broncos. He had no pulse or heartbeat for three minutes and had to be revived with a shot of adrenaline injected into his heart. He was diagnosed as having suffered "an irregularity of the heart-beat which caused him to go into temporary shock." After the 1969 season, George Wilson was fired by the Dolphins and replaced by
Don Shula. In February 1970, Shula offered Bingaman "a position involving special assignments." He spent the year as a special assistant, scouting college players for the Dolphins. ==Family and death==