There is no question that God loves all of His children, and that obviously includes non-members. That being said, there are some facets of the religion that you should be aware of that will influence how she approaches both you and the relationship. Don't get her hopes up too much - in return ask her to do something to research your views. I know people should not get married if they can't accept each other as they are. For girls, being the right age for marriage usually means graduating high school, if not later.
It is a tradeoff at best. It also means that you have to give her something particular to do. They're hidden pretty deep on LDS. Love is what we do, not what we feel.
You are a good person and she can see that. First and most importantly, I see major trust issues in your future if you both think the other is brainwashed. If a direct contact is simply not possible given the residency schedule, then how about a bedtime phone call. I am so in need of a support group. It is a new experience yet for me as I have only been married 6 months to a doctor. It will be up to you, her man, to support the positive expectations. Thank you for this. When you make the best choice for you, blessings will follow.
Break up with her. By Thursday, I'd feel like he disappeared. If you are in a movie theater, you can't talk, so you can't get to know the girl you are dating. I don't think people really understand how lonely it can get, unless you are married to one. God works by small and simple means to bring about His great and eternal purposes.