The OP posed limits such as no cheerleaders/commercials………………….
I would not want my kids at professional sports venues where the crowds are out of hand, drinking beer, vulgar language, etc.
That said, I take my grandchildren (as I did not children) to attend local college baseball games as treats during Chol HaMoed Pesach. There is no alcohol sold, the crowd is a family type. The players are scholar athletes who must maintain grades to play/stay on the teams (Note I did not include footballi or basketball which attract a lower strata of fans and players).
An afternoon in the fresh air and sunshine at the ballpark is worthwhile and healthy. Helps eliminate Vitamin D deficiency,