I wish that I could help. I had a successful relationship with an NT for many years, but eventually it ended. Most of the reason was due solely to him and issues in life that he was having, but another part of it was that he was tired of putting up with "the way I am." In the beginning of our relationship it didn't bother him that I liked to stay in most of the time, because he preferred that too, but towards the end he was wanting to go out and party almost all the time, and wanted me to come with him. That just wasn't going to work.
This does not mean that it will turn out the same way for you. It's really hard to give advice without knowing about the personality of your girlfriend. I think that if it is important to her to have a rich social life, then you need to respect that, just as she should respect your desire to not have one. Maybe plan the frequency with which you will join her, but for the most part she will need to understand that you will not want to come along.
I do know that open communication is always vital to a relationship's success. Please express your concerns with her and make sure that she feels comfortable to do the same, without an argument ensuing. You must both work to meet each others' needs, so let her know if that isn't happening. And be prepared if she says the same to you.