You’ve done a great job of finding programs! I suspect they’re all likely or extremely likely admits with respect to general admission, but as for the assured OT programs, I have no clue.
Duquesne, Ithaca, Nazareth, and Hartford were some of the schools I was considering suggesting, except they were already on your list. One school that wasn’t on the list that your family might want to consider is U. of New Hampshire which has a bit over 11k undergrads.