Clearly you are itching to contact your W, I understand, but listen to everyone on here and DO NOT DO IT!!!! It doesn't matter what reason you come up with right now, she will not receive it well.
The best thing you can do is keep working on yourself, growing, making the changes that needed to be changed in order for you to be a spouse that only a fool would leave.
At some point in the future when she hits the same problems in her current relationship, she may realize that she played a part in the downfall of your M too. When you find out she is having trouble, or that R is over, you may still want her and you may not.
However, living apart (esp in separate states) with her right in the middle of the high of a new R, there isn't anything you can say that will bring her back or make things look different. That doesn't mean there won't ever be, it just means there isn't today.
The other thing you want to do is start reading stories and look for those that are similar to yours and follow them. You will learn a lot by doing that.
Good luck with everything...in the meantime, it sounds like you have the best GAL going!
M 46 H 44 D 12 S 8 M 9 T 11 BD 2/15/13 "Makes sense to stay together" 5/12/13 Agree we are 'healing' 7/13 Definitely Piecing 9/13