It would be best to take informed advice about this, Betty, as it's a complex area. I know a little about it from work, but you have to be specially trained to assess this kind of stuff fully, and I'm not.
You're very wise to think about it now - it's surprising how many people living abroad don't appreciate that nationality is not the only thing taken into account when it comes to university fees. Residence is the killer criterion.
Firstly, your daughter needs to be classified as a Home/EU student to get the UK level of fees charged - under the new arrangements the difference between that and the overseas fee for undergraduate students won't be so great, as the UK government is no longer subsidising most undergraduate teaching, but as far as I can see if you're not a Home/EU student you're not entitled to a student loan, full stop. Following giddy's link above, I see that there's a lot of guidance on eligibility for student support here:
www.ukcisa.org.uk/student/info_sheets/student_support_england.php
Home/EU students have to have either EU citizenship or indefinite leave to remain in an EU country - this bit is no problem for your daughter. But they also have to have been ordinarily resident in the EU for three years prior to starting the course, and that means having their permanent base here, not just coming here for the purposes of study. This is the bit that might trip you up depending on how long you will be out of the UK before your daughter reaches university age.
I think there are ways round it for those who can afford to keep a permanent home in the UK as well as their temporary base overseas. I don't know how thoroughy these arrangements are scrutinised, which is why I would suggest getting a UK university admissions team to give you their opinion, if you can. If they looked into it thoroughly, I doubt you'd get away with giving the grandparents' home as the UK address, say, but maybe people with experience will comment.
Of course, if you were there long enough your daughter might become eligible for some kind of support from the US government/state - I know of a US student currently studying in London who has some kind of loan/grant, but have no idea what the qualifying criteria are.
Good luck!