You should be able to take your spouse's last name through marriage. Most states allow name change during the marriage process. You need to make it clear that after marriage you wish to be known by your spouse's last name. Should you change your mind about pursuing a green card, you can read more about adjustment of status at http://myattorneyusa.com/adjustment-of-immigration-status.
Answered on May 17th, 2016 at 3:52 AM