I don't have SSBNs but I do have SS(G)Ns. The nuclear role is somewhat controversial both cost and capability wise and is liable to be gone completely by 2020 as cruise missiles with W80s although plenty destructive enough in the grand scheme of things don't offer cost effectiveness.
I do use names that are used by the Royal Navy because they're a documented constant. If you fancy coming up with a couple of hundred ship names for me then by all means do so
I know full well what sort of fleet I need as I've been working on this for one hell of a
long time. The map you see below is somewhat outdated but gives a general idea of where it is (it's the same as it has been since the Atlantia days, although less massive as now the faroes aren't eaten up...)
~Mark.