And there are schools where almost every student is in engineering, so all the athletes are too. Colorado School of Mines is one, and the athletes are in the ‘hard’ engineering majors like chemical and petroleum. I looked at the men’s soccer team a few years ago and every player except one was in engineering. One of their football players this past year was a 6th (!) year student, had a BS and MS in engineering and 2 certifications - he took everything they had to play out his extra ‘covid’ years.
My daughter was in a school with about 60% of students in engineering. On her team of about 24 players, usually 6 or so were in engineering, another 6 in other stem programs, and the rest in business or psychology (the psych program was ‘sciency’ with a focus on autism). The school supported athletes by arranging tests on weekdays to allow athletes to travel on weekends, and the athletic department supported the academics by requiring study tables, reporting attendance and grades to the coaches, and making sure the athletes knew school came first.
Some schools list the majors of their players on the team rosters. Look at a few of them to see if they ‘allow’ their athletes to major in engineering or lab sciences.