There is a youtube video that compares the height for live action actors that played Superman.
https://www.youtube.com/watch?v=s5lnIRT4gS4
It's pretty subjective, but the youtuber has Christopher Reeve the tallest, followed by Brandon Routh and then Tom Welling.
I don't believe that Superman needs to be tall. I look at the Joe Shuster Superman as being about average height for a man. It's Wayne Boring who made him a head taller. To me it's less about his physical size and more about the bearing of his character.