First, there is not a judge on earth who will emancipate a 16 year old to go live with her boyfriend.
Second, "I don't get along with my parents" is not a valid reason for emancipation in any state.
Third, unless you can show a judge that you are capable of supporting yourself 100% (even if you have a roommate, you still need to be able to show that you can provide for yourself without assistance if the roommate moves out, transfers to Alaska or gets run over by a bus) and that you have a proven ability to manage ALL of your own affairs, you can hang it up. Add parental disapproval and your chances for emancipation are about zip.
On this and other boards I have seen several hundred teens wanting to know if they can be emancipated. ONE of them has succeeded and he is a truly remarkable young man with a much better reason for living on his own than that he and his parents don't get along. Emancipation is very rare and is granted only on the basis of NEED, not want.
Emancipation is not and never was designed to allow teens to leave home. It was and is designed to provide legal protections to those teens who, for reasons outside their control, found themselves on their own.