I have no idea of how common it is, but I don't think it'S actually rare. There are many intermediate solutions for people with mixed or relatively minor cross-gender feelings like you.
If I understand well, your concerns are mainly aesthetical. In that case, cross-dressing at times or even going all-out, if you're an extraverted person, with making yourself a drag-queen in clubs at night. Drag-queens are mostly people who live fully as male and enjoy their life, but also enjoy spicing up their lives with a short-term, major change of look every club night.
You shouldn't worry all that much about looks: with their efforts, judicious clothes changes, heavy make-up and generally slim bodies, many drag-queens, even though they are obviously male with their voice, Adam's apple, wig and mannerisms, manage to otherwise look great (and sometimes take pride in mindf---ing straight men, which must be a funny thing to see, actually).
If I read you wrong and your concerns are deeper than looks, but you are honest about your wish to be male AND female, then you might want to go for a more serious process. You could get HRT but retain your genitals. You could get just an androgen blocker to make you feel a little more female. You could go for an androgynous lifestyle, in which you wouldn't feel too male or female. You could be blunt and go for a queer mix, with high heels, ribbons, beard and macho-man jewelry. You could also live two lives, which some transsexuals incidentally do because of work difficulties, but willingly: working as a neat, necktie man in the day, but getting a dress and a wig in the evenings.
There is a large spectrum of possibilities for you; I am sure.
But whatever the case may be, I think seeing a gender therapist or psychologist would be a great help, especially since you don't exactly have a typical case. Sorting all that out will be the first step to feeling better.