Interesting newspaper clipping on Carmichael from the mid 1960s. There are many mentions of him in Columbus newspapers over the years, this one seems to touch on several of his accomplishments.
https://www.newspapers.com/clip/105968816/
https://www.newspapers.com/clip/105968954/
The article mentions him being a pilot, golfer, car racer, captain of Princeton basketball team and pitcher in the first televised baseball game.
Search for Carmichael in this:
https://paw.princeton.edu/article/rally-round-cannon-44
Note:
"The first-ever televised baseball game aired on May 17, 1939, between Princeton and Columbia. Princeton beat Columbia 2–1 at Columbia's Baker Field. The game was aired on NBC station W2XBS. At the time, this was NBC's experimental station located in New York City, which would ultimately become WNBC. The game was announced by Bill Stern." ---From Wikipedia.
He was in Princeton's class of 1941. When he returned from WWII he joined his father's architecture firm in Columbus. Over the years they seemed to have specialized in designing hospitals as there are several articles about those.