First off, you probably wanted to post this in the "Navy: Getting in" Forum. Congrats on getting accepted into nuke.
That said, you may apply for NROTC depending on your eligibility for that and the many officer programs there are. Google OPNAVINST 1420.1 and you will find more than enough information.
Just FYI, enlisted nuclear is NOT a guarantee to getting a degree. You must be determined to either, 1) be lucky and get accepted into an officer program, or 2) work your butt off for the next 6 years and do your schooling on your own time, of which you will hardly have any (It's been done, I'm proof).
It's not impossbile, just don't think you will be for sure going to school full-time and thats it.
Jason