Is there a period in history that your daughter has a particular interest in? Also, assuming all schools meet your budget, what kind of a school would your daughter like? What size? Big fan of school sports or Greek life? Rural, suburban, or rural? Are there any types of experiences she’d like to have? Is there a particular distance from home (minimum or maximum)? Every option in the world might not be open, but knowing more might help to narrow down the search a bit as I suspect that she may have many options.
I will say that with your D’s stats (presume her GPA is comparable to her SAT score) that she would definitely hit your budget at Louisiana-Lafayette, quite possibly with a full ride. (She’d get room & board, at least $2400 off in-state tuition, and an on-campus job…and I’d bet they’d throw in the rest of in-state tuition for her, too.)