In his Eugenics Wars novels, Greg Cox has the DY-100 developed at Area 51.
I see no reason why the stasis box couldn't be kept at Area 51.
I am absolutely not a fan of Greg Cox's take on the Eugenics Wars being covert in nature. I feel the wars reached a very-overt stage of chaos during the nineties with 'whole populations being bombed out of existence' - though that does not necessarily equate to a nuclear exchange. I don't believe a single character in Earth's history could rise up and secure one-quarter of Earth 'from Asia to the middle-east' without being overt about it.
Absolutely no offense to Greg Cox and his work, but I disagree with his take on the future history.