Homeschooled with a 4.0 gpa- hmm. No AP classes because will be in Mexico in May. Students do not need to take the AP exam to take AP classes. However, if she is home schooled that may be a problem in documenting coursework without the AP exam. Easy to self study with online resources. You need to figure out priorities- Mexico or her education. If you were using the schools she would not be able to miss classes in the first two weeks of May. No reason she can’t go later.
You can afford airfare to Europe, trips to Mexico but not a US college? You state you are too rich for some need based money. You need to rethink spending money on trips elsewhere. Generations of immigrants left family behind and could never see them again. If you do not qualify for financial aid you have money, how you choose to spend it reflects the importance of things.
Does your D want to be fully integrated into American society? She is missing out on the HS experience by not physically interacting with other teens in the school setting. Going to a US college would expose her to many others living in this country, and the college she attends would place her with intellectual peers (public flagship U’s get many gifted kids who cannot afford elite OOS schools).
You, her parents are immigrants and it looks like you are not attempting to integrate your D into US society by excluding her from her US peer groups via school. My H and his sister/her H are immigrants. We have gifted kids and chose an American lifestyle. Successful US college grads.
I am from the US for various generations (depends on which ancestor you look at). Did not have money- used scholarships and work to get through college, translated into able to pay for son.
Post becoming long. You need to figure out your values. You can find a way to get a good US college education for your D IF you choose to. Loans that need to be paid off with the job she will get perhaps. So many Americans who don’t qualify for need based aid do it every year- no family in other countries to go there.
Having one foot in the US and one in the old country has meant your D may not feel American. You choose.
PS- many, many good U’s for elite students in the US. Prestige and known name are not the same as an excellent education.