From Friedman's US Aircraft carriers:
This "self-protecting CVAN" was sketched in 1955 as part of a BuShips attempt to forecast warship possibilities. It suggests the promise of VTOL technology (presumably based on the Bell X-13, which was partly funded by the navy, and which could have landed in the "VTOL nets" abaft the island) and of the new surface-to-air missiles. The power plant would have duplicated that of the new Enterprise. Its dimensions were 990 feet (wl), 1030 feet (oa), by 132 feet wl by 36 feet, for a light ship displacement of 64875 tons (81150 tons fully loaded). Self-defense would have been achieved with the two Talos launchers (fore and aft of the island) and four Terriers (in quadrants). With three C 7 catapults, the CVAN would have operated conventional aircraft as well as VTOLs; her air group was listed as eight heavy bombers (A3D size), twenty-four VTOL interceptors, four night fighters (F3H-1N) and sixteen ASW helicopters (HRZS). Note that the carrier had no sonar and no ASW missile battery, although she would operate without escorting ships. Costs were estimated as $375 million for the lead ship and $340 million for the follow ships. In fact the must simpler Enterprise cost about 451 million, without defensive missiles.
Instead of the X-13, I have used the Ryan Model 115C VTOL interceptor that was designed based on the X-13 design.
Mk 77 Talos FCS
Mk 12 GMLS
Mk 76 Terrier FCS
Mk 10 GMLS
Ryan Model 115C