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Maybe we define “join” differently. The parish I am registered at is the one that has all the information about me and the one who asks me to take care of them with my time and financially. We can, I suppose, get technical about how to define “join”, but I don’t think that will help the OP to answer the question. My point was that she can seek out a Catholic church in her area where she would like to worship. She can, as you said, register there.It does not matter if you register at another parish (which you are allowed to do) that does not mean you “join” that parish.
Your parish is always the one you are geographically located in and in which you have the right to be married (assuming no impediments and also that pre-requisites are in order).
I am not saying another priest will not marry you but I am saying that they can and often do refuse and you can have no complaint if they refuse because you have no rights at another parish.
Canon Law:
Can. 1115 Marriages are to be celebrated in the parish in which either of the contracting parties has a domicile or a quasi-domicile or a month’s residence or, if there is question of vagi, in the parish in which they are actually residing. With the permission of the proper Ordinary or the proper parish priest, marriages may be celebrated elsewhere.
What confuses me is your line that another priest can and often does refuse to marry you if you are not in their geographical parish. I have never heard of a priest refusing to marry someone who was registered at their parish solely because it wasn’t the person’s geographical parish. Do you have anything to back this up?