Rumors of a base closing are just that. I doubt anybody on here could tell you with any degree of accuracy what bases will be around when you get here. Chasing domiciles (or out cities) isn't the best strategy long term because they can change.
That said, I haven't heard any compelling reasons why ANC would be closed any time soon. Not saying it won't happen, just that I haven't heard any substantial rumors/official correspondence that it was in the works. None of the other bases either for that matter.
Of course its possible they could announce it closing tomorrow. I just don't think its likely any time soon.