Since not having a license is really bad if you get stopped. Can you still pass as man? If so, you could get a license in your current name, then after you get all your documents proving you are a female, go back and have it changed.
When I went through transitioned, and had to change my license, as soon as I was legal I went to the teller at the license teller and told her that When I received my license, I told them that when I got my license, they screwed up and put female. I didn't think it would work, but it did. They changed it with no problems. That was just gender though. If either your first or middle name is androgynous, use that name for now and when you get yourself legal and have a new name, just go in and tell them you had a name change that needs to be corrected. Make sure you have a copy of the attorney's name change document.
People change their names for all kinds of reasons, and I'm sure they have done it before. If your DMV is large, they probably will not even remember you from the first time.
sam1234