I agree with the others: there is little to no way to go through the match or otherwise look for a position without involving your current PD.
Obviously this must be played wisely, as you don't want to burn any bridges, should the programs in the other city not be interested in you. As noted above, you have used a year of your GME funding; many programs will not be interested in getting less money for you.
I might start by inquiring of those local programs as to whether or not its something they would even consider. If the answer is no, I'd probably not apply.
A piece of advice if I may: there are many places and many faculty who are still not wholely fond of women in surgery. Mentioning that you want to leave for a "future fiance" is not likely to be well received. I'm not suggesting you lie, but frankly, "future fiance" = boyfriend until you have a real proposal, a ring, etc. I can imagine that most PDs would question your commitment to your career if you are planning on leaving a program you matched to for a boyfriend...serious one or not. Female residents leave surgery programs at higher rates than males. Faculty are sensitive to this and many think that women have less of a commmitment. Add to it the belief that you would leave for a BF and your program is going to think it a bit flaky. If they are so inclined, they may start looking for any reason to get rid of you, assuming you will leave anyway.
Therefore, you must make it apparent that you are a hard worker, that you love the program but that you need to leave for personal reasons. It would be nice if all PDs had your best interest at heart, ie, don't want you to stay if you are unhappy and want to help you find another program, but the truth is that many are not and will take the opportunity to shaft you. There is very little job protection for the resident in this situation.
You start looking for another program and your program starts looking for another resident, especially if you are a Categorical. There are probably hundreds of Prelims out there with better scores than you, who are harder working and would kill to be in your position and your PD knows it.
Anyway, this is not impossible to do but you must tread very lightly and accept the risk that if you do not match into a program where your BF lives, that you may be out of a position at your home program. Is this a risk you are willing to take? It may not happen, but it is a real risk especially if there are any concerns about your performance as an intern (and we all had them).
You will need to talk with your PD sooner rather than later, so that they can start looking for someone to take your position, and so that he/she can draft a letter for programs to which you are applying. There are tons of threads here about the mechanics of leaving programs, so I suggest you read those as well.