Your wife can stay in the US after you file. File the I-130 and the I-485 together though.
The answer provided here is general in nature and does not take into account other factors that may need to be reviewed for a more precise answer. You should consult with an immigration attorney before taking any action. The answer here is not intended to create an attorney-client relationship.
This gets complicated, where she leaves the U.S. to see family and tries to return on her F1 visa. She can be denied admission to the U.S. You and your spouse should speak with a competent and experienced immigration attorney about all the issues that may complicate matters before you file the I-130.
You may want to wait, among other considerations. Good luck.
This is general information, not legal advice, and does not create an attorney client relationship.
I agree with Mr. Dixler, but must disagree with Mr. Murphy.
Since you only have a greencard, she can't file the I-485.
As long as she stays full-time as a student and DOESN'T TRAVEL OUT OF THE US ... she will be fine.
PROFESSOR OF IMMIGRATION LAW for over 10 years -- This blog posting is offered for informational purposes only. It does not constitute an attorney-client relationship. Also, keep in mind that this is an INTERNET BLOG. You should not rely on anything you read here to make decisions which impact on your life. Meet with an attorney, via Skype, or in person, to obtain competent personal and professional guidance.