What I always found interesting how children in the US sound "shrill" to my European ear, I think children have much lower voices here in Europe (Germany). Anyone else with the same perception? Or is it just in my imagination?
Also, there is no a neat separation between nasal Americans and other English speakers. Many Australians are also quite nasal, whereas black Americans (unless you count Steve Urkel) don't strike me as nasal at all.
On the third hand: I find the Irish accent is higher pitched than most, without sounding either nasal or shrill. But Americans often sound a lot like the Irish, so that might also make them higher pitched.
https://erikbern.com/2017/02/01 /language-pitch.html
To be more concrete, here's a random example of what sounds natural in Hungarian: https://www.youtube.com/watch?v=Dm0DWhDk06s