If you had established friends at Hamilton, would you be unreceptive to potential new friends? You may encounter some students there who view relationships in this limited way, but they wouldn’t be likely to be especially interesting anyway, and you would certainly meet others with more open attitudes.
Hamilton is so spatially large that it would require a serious dearth of imagination not to explore that space socially. For variety, you could eat in any of seven places on campus, for example.