At Charleston, I don’t believe we pay.
At Purdue, for example (where my son almost went) it’s $200. Not sure about where my son attends - if there’s a charge it’s small.
Again, it’s school dependent - but when I look at my son’s bill at Bama, there’s lab fee this and athletic fee that…lots of fees.
I know when we looked at Purdue and Minnesota, they had an engineering fee.
Hence the need to research each school individually.
Good luck to you.
PS - hopefully if there’s a fee you get a scholarship to offset (if you have another headed to a school that charges). Certainly not all do and I don’t know the split, but perhaps most don’t.
Some Honors Colleges are more well known, etc. and perhaps that plays a part.