how about some kind of charm (bracelet/necklace charm) that reminds her of you...since you are in the military it will remind her of you when she is missing you and you're away.
a beautiful framed pic of you two together....or a scrapbook of memories highlighting time/adventures spent together...wait is this actually your girlfriend?
I don't think OP is implying that...seems he is implying that a white woman may say that she may connect with a black guy in many or all ways (as she would/could...