How hard would it be to get a couple of Senior MTs and SSBN weapons officers to go to those surface ships? Then they'd at least have personnel experienced in handling nuclear weapons.
Mods on existing ships has been done before...logistics/legal/security for boats with nuclear weapons are already well established and these converted ships would probably have to be either relocated to where the SSBNs reside or new facilities would be built that mirror the SSBN bases...in any case, I don't see it as being "impossible" to accomplish.