We like both Brunswick Maine (where Bowdoin is) and Harvard Square. There is of course more to do in or near Harvard Square plus Boston, but Brunswick is a nice small town. We are in both locations quite frequently (and I have a master’s degree from Stanford) so feel free to ask if you have any questions.
Regarding the quality of an undergraduate education I would consider Bowdoin to be a peer of Harvard and Stanford. All three are exceptional. Since Harvard and Stanford are a lot larger, there is a much greater range of possible majors. If Bowdoin has your major, the quality of education that you will get there will be very similar to the quality of education that you would get at Harvard or at Stanford.
Stanford is most likely the best of the three for computer science and most forms of engineering. For my major, mathematics, Stanford and Harvard are better known but I would expect Bowdoin to also be very very strong. They are all very good for a range of other majors, but of course a wider range at the larger schools.
Harvard and Stanford are generally better known. However, graduate admissions at pretty much any university in the US will know how strong Bowdoin is.
As an international student, you should assume that you will need to leave the US and return to your home country after graduation. This might depend upon where you are from, but it is likely that employers in your country might know Harvard and Stanford much better than they know Bowdoin (if they have even heard of Bowdoin).
If a daughter had gotten accepted to all three, I would have suggested that they attend whichever university would be a better fit for them, or whichever would have been more affordable.
And admissions at any of the three would be a reach for almost any student. If you are the top student in your country and you have won a Nobel Prize, then admissions is likely. Without the Nobel Prize, any of the three are a reach.
And right now it is -6 Celsius in Brunswick Maine, and a bit windy, which is okay but not what I would call “warm”. 