So let’s go to your last sentence first - you don’t think you’ll get need based aid but you can afford $35-40K a year.
So the first thing I’d ask you to do - pick a few schools - say Cornell (a meets need), Tufts (Rochester (a meets need) and American (doesn’t meet need) and see if you qualify for aid. Let’s not guess. Let’s be sure, especially with having two in at once. Your other school might surprise you too. In other words, maybe you can go to an $80K school for $40K, maybe you can’t - but let’s truly see.
Secondly - there is no defined major for law school and as you can imagine - kids plans change. Other than maybe patent law (engineering) - for someone going for general law or undecided in which area they’d study - they can study what they want - from English to Philosophy (a good one) to the most popular Poli Sci to Geography, German, Journalism, public health, Parks and Rec, Classics - or you name it.
So she should find a major (eventually) she can enjoy. Most liberal arts don’t have “prospects” per say - they aren’t pre professional, leading to a formal job such as accounting or engineering or teaching, etc. - all “pre law” majors by the way.
The thing for law school is - you will need to research and write a lot, interpret - so anything that can help you understand, etc.
I don’t think you force a major on someone. It sounds like you are “prescribing” a path - vs. understanding her desires. Perhaps she goes undecided and figures it out later, etc.
There’s actually a thread from the other day - what do people do with different majors and you’ll be surprised at typically - not anything related.
So tell us more - statistics (GPA, ACT, rank)…whether or not she’s got strong extra curriculars, etc.
What’s your resident state - and where does your current daughter go?