How to get my ex girlfriend back. I know its lengthy, I asked before, but no one answered, this is important!?

So my ex girlfriend dumped me a couple of weeks ago because she will be graduating college in the spring and she may be going to work in Texas (we both currently attend college in Mississippi, and i am graduating a semester after her). We had been going out for close to 9 months, and we were and still are in love, and we had even talked about getting married in the future. Her reasoning for the break up was that it would be easier to break up now rather than waiting until spring. We had previously discussed the possibility of her going to work out of state and decided we would deal with it when the time came closer, and we even discussed me moving to Texas after i graduated, and we made an agreement that we would find a way to work things out. About a week ago she came over to talk and told me she was still in love with me and cried hysterically for close to 2 hours, and ive gotten a few text messages very late at night from her telling me she misses me, but she has also told me she does not want to get back together. I am trying to give her some space and am hoping she will realize she misses me, and i haven't had any kind of contact with her for about 5 days, but its very hard for me not to try to not call her. I am considering calling her sometime next week to grab a cup of coffee, is this a good idea? I do not plan on bringing up getting back together i just think it would be good for us to go out because she may realize after seeing me she made a mistake. I am wondering if i am taking the right approach here? And if we grab some coffee what should be discussed? Should it just be a friendly thing, or should i bring up getting back together again? And if we don't talk about getting back together that day when should i bring it up again? This is someone that is very special to me and i would do anything to get her back. I now this is a big question but any kind of help would be greatly appreciated, thank you.