What is your intended major?
Would you need $50k in loans for Bates? If so, some of this will need to be co-signed by your parents.
I am thinking that UNH with a full ride sounds like a really great deal. While you may be above average for the students there (based on your stats from another thread), there will be many other very strong students there, particularly in the honors college. Many very strong students will be there for the same reason as you: Affordability. A few might be there because UNH is in such an attractive location (at least in my opinion). I think that you will also find that UNH has demanding classes, and a wide range of subjects that you can study.
Having no debt at all will be a big deal a bit over 4 years from now when you graduate university and are looking for your first job.