Hi Frustrated11,
I knew my friends would come through with advice for you. I have to say I agree with both of them.
You do write very well; you definitely present as someone with a lot of intelligence and insight as well as someone who has a lot on the ball. (I know you'll go far.)
That's why I'm sure you also realize there is nothing you can do to "make" Jane see things your way.
Jane's life is just that - JANE'S life. While you may be correct in your assessment of her living situation, and may also have the best intentions regarding her future and the opportunities best suited to ensure her success; what Jane chooses to do with herself is whatever she feels will be right for HER.
I think you can (and should) tell Jane how you feel. Once. And after that, you are just going to have to let it go.
Furthermore, please keep in mind that although Jane seems to be planning on completing her course of study where she now resides (instead of the college you recommend) there is nothing which says she cannot change her mind.
As you and she progress in your relationship, it is possible she may decide she WANTS to be on your side of the country, is that not so? And if she should reach that conclusion, then there is nothing to stop her from transferring and moving, correct?
Jane sounds like a resourceful young lady who knows what she wants and has a plan to achieve it.
If you have strong feelings for her, you owe it to her to support her decisions, even though her choices may not be what you would prefer.
Stop putting pressure on Jane to see it your way and tell her you'll miss her and you wish she'd consider what you have suggested - but that you'll stand behind her one hundred percent, no matter what she decides.
Then do it.