I learned the term "heteroflexible" yesterday and that describes me pretty much. :P
I think maybe I don't like the term biamorous for one reason. When pertaining to sexual interest in both genders, it implies a connection between sex and love. I have that connection personally, sex and intimacy go hand in hand for me, but not everybody has that.
Maybe you should just be "amorous" and love whomever you want. Labels are silly. :P