Elfrink played sports while attending Coe College in Cedar Rapids, Iowa. He was a key player on the football team of 1914 under head coach Moray Eby that the college considers to be one of the best teams the school fielded of all time.
Elfrink was the 12th head football coach for Fairmount College (now Wichita State University) located in Wichita, Kansas and he held that position for the 1920 season. His overall coaching record at Fairmount College was 3 wins, 4 losses, and 2 ties. This ranks him 27th at Wichita State in terms of total wins and 18th at Wichita State in terms of winning percentage.
Elfrink served later that season as head basketball coach for the Shockers, where his team completed an impressive record of 16 wins and 2 losses. As of the beginning of the 2006 season, this was still considered the "best start" in the history of basketball at the school.