I cannot say whether you should or should not pursue the relationship. Time will tell. But I can say that I think it is a bad idea to surprise her by suddenly appearing with no warning or discussion of what she would like or how the two of you could spend time together. If she is in agreement to your visit then do it but I know I would feel awkward if I had a surprise visit. But that is me. I don't even like family or friends stopping by my house to visit without calling me first.

Good luck.