UDel Honors has benefits for an undergraduate (compared to a huge public university where all freshmen will have some online classes) - and living away from Mom&dad also does (independence, personal growth, discovering another part of the country and its culture).
So I understand right that both would be affordable and you’d only pay room/board at either one?
It sounds like the majors are quite different and @Gator88NE has a very good point in that respect. Dig into the classes required for each major and compare side by side for each campus.