No btdt advice here, either, although our DC also took a full scholarship from a nearby perfectly respectable non-name school (which turned out to be just as well, since everyone's in remote learning this year...). If I recall correctly, you can expect an influx of unsolicited offers from schools that subscribe to the College Board's mailing list. They're often more generous than name schools, but still provide a solid undergraduate education.
I guess you could look them up in some of the ranking lists, probably with an eye to the schools with more options for majors, if she doesn't have a specific one in mind. And there's no shame in pre-sorting them by bottom line.
And congrats to your DC!
